1 / | | y | ------ dx | 5 | x + 1 | / 0
Integral(y/(x^5 + 1), (x, 0, 1))
/ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ \ | / ___________ / ___________ ___________ \ / ___________ / ___________ ___________ \ / ___________ / ___________ ___________ \ / ___________ / ___________ ___________ \ / ___________ / ___________ ___________ \ / ___________ / ___________ ___________ \| | / ____ / ___ | ___ ____ / ___ ___ / ___ | / ____ / ___ | ___ ____ / ___ ___ / ___ | / ____ / ___ | ___ ___ / ___ ____ / ___ | / ____ / ___ | ___ ____ / ___ ___ / ___ | ____________ ____________ / ____ / ___ | ___ ____ / ___ ___ / ___ | / ____ / ___ | ___ ___ / ___ ____ / ___ || | / 1 \/ 10 *\/ 3 + \/ 5 | 18 32*x 22*\/ 5 \/ 10 *\/ 3 + \/ 5 15*\/ 2 *\/ 3 + \/ 5 | / 1 \/ 10 *\/ 3 - \/ 5 | 18 32*x 22*\/ 5 \/ 10 *\/ 3 - \/ 5 15*\/ 2 *\/ 3 - \/ 5 | / 3 \/ 10 *\/ 3 + \/ 5 | 94 44*x 92*\/ 5 75*\/ 2 *\/ 3 + \/ 5 6*\/ 10 *\/ 3 + \/ 5 | / 3 \/ 10 *\/ 3 - \/ 5 | 94 92*\/ 5 44*x 6*\/ 10 *\/ 3 - \/ 5 75*\/ 2 *\/ 3 - \/ 5 | / ___ / ____ ___ ___ \ / ___ / ___ ____ ___ \ / 3 \/ 10 *\/ 3 + \/ 5 | 96 42*\/ 5 44*x 8*\/ 10 *\/ 3 + \/ 5 45*\/ 2 *\/ 3 + \/ 5 | / 3 \/ 10 *\/ 3 - \/ 5 | 96 42*\/ 5 44*x 45*\/ 2 *\/ 3 - \/ 5 8*\/ 10 *\/ 3 - \/ 5 || | 2* / -- - --------------------- *atan|-------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------| / / ___________ ___________\ ___________ ___________\ / / ___________ ___________\ ___________ ___________\ / / ___________ ___________\ ___________ ___________\ / / ___________ ___________\ ___________ ___________\ / / ___________ ___________\ ___________ ___________\ 2* / -- - --------------------- *atan|-------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------| / / ___________ ___________\ ___________ ___________\ 4* / -- - --------------------- *atan|---------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------| 4* / -- - --------------------- *atan|---------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------| / 1 \/ 5 | \/ 10 \/ 2 4*x*\/ 2 | / 1 \/ 5 | \/ 2 \/ 10 4*x*\/ 2 | 8* / -- - --------------------- *atan|- ----------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------| 8* / -- - --------------------- *atan|- ----------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------|| | \/ 20 200 | ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________| | ___ | ___ ___ / ___ ____ / ___ | ____ / ___ ___ / ___ | / ___\ | ___ | ___ ___ / ___ ____ / ___ | ____ / ___ ___ / ___ | / ___\ | ___ | ___ ____ / ___ ___ / ___ | ____ / ___ ___ / ___ | | ___ | ___ ___ / ___ ____ / ___ | ___ / ___ ____ / ___ | | ___ | ___ ____ / ___ ___ / ___ | ____ / ___ ___ / ___ | \/ 20 200 | ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________| | ___ | ___ ____ / ___ ___ / ___ | ___ / ___ ____ / ___ | \/ 20 50 | ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________| \/ 20 50 | ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________| 6* / -- - ----- *atan|------------------------------------- - ------------------------------------- + -------------------------------------| 6* / -- + ----- *atan|--------------------------------------- + --------------------------------------- - ---------------------------------------| \/ 20 50 | ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________| \/ 20 50 | ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________|| / | | / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ | ___ |5217 2 2213*\/ 5 | 48 21*\/ 5 45*\/ 2 *\/ 3 - \/ 5 4*\/ 10 *\/ 3 - \/ 5 | 1381*\/ 10 *\/ 3 - \/ 5 3045*\/ 2 *\/ 3 - \/ 5 | |1 \/ 5 | |71 2 9*\/ 5 | 9 11*\/ 5 15*\/ 2 *\/ 3 - \/ 5 \/ 10 *\/ 3 - \/ 5 | 37*\/ 10 *\/ 3 - \/ 5 35*\/ 2 *\/ 3 - \/ 5 | |1 \/ 5 | |71 2 9*\/ 5 | 9 11*\/ 5 \/ 10 *\/ 3 + \/ 5 15*\/ 2 *\/ 3 + \/ 5 | 37*\/ 10 *\/ 3 + \/ 5 35*\/ 2 *\/ 3 + \/ 5 | ___ |12387 2 4287*\/ 5 |47 46*\/ 5 75*\/ 2 *\/ 3 + \/ 5 3*\/ 10 *\/ 3 + \/ 5 | 4645*\/ 2 *\/ 3 + \/ 5 3929*\/ 10 *\/ 3 + \/ 5 | ___ |12387 2 4287*\/ 5 |47 46*\/ 5 3*\/ 10 *\/ 3 - \/ 5 75*\/ 2 *\/ 3 - \/ 5 | 3929*\/ 10 *\/ 3 - \/ 5 4645*\/ 2 *\/ 3 - \/ 5 | | / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ | ___ |5217 2 2213*\/ 5 | 48 21*\/ 5 4*\/ 10 *\/ 3 + \/ 5 45*\/ 2 *\/ 3 + \/ 5 | 3045*\/ 2 *\/ 3 + \/ 5 1381*\/ 10 *\/ 3 + \/ 5 | | / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ | | / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ | \/ 10 50 | ___________ ___________ ___________ ___________ ___________ ___________| \/ 10 50 | ___________ ___________ ___________ ___________ ___________ ___________| | / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ | | / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ / ___________ / ___________ ___________ / ___________ || | | | ____ / ____ / ___ ___ / ____ / ___ ___ / ___ / ____ / ___ ____ / ____ / ___ ___ / ____ / ___ ___ / ___ / ____ / ___ ____ / ____ / ___ ___ / ____ / ___ ___ / ___ / ____ / ___ ____ / ____ / ___ ___ / ____ / ___ ___ / ___ / ____ / ___ ____ / ____ / ___ ___ / ____ / ___ ___ / ___ / ____ / ___ | 2*\/ 5 *log|---- + x - ---------- + x*|- -- + -------- - ----------------------- + -----------------------| - -------------------------- + -------------------------| |- - -----|*log|-- + x - ------- + x*|- - + -------- - ----------------------- - ---------------------| - ------------------------ + -----------------------| |- + -----|*log|-- + x + ------- + x*|- - - -------- - --------------------- + -----------------------| - ------------------------ - -----------------------| \/ 5 *log|----- + x + ---------- + x*|-- + -------- - ----------------------- - -----------------------| - ------------------------- - --------------------------| \/ 5 *log|----- + x - ---------- + x*|-- - -------- - ----------------------- + -----------------------| - -------------------------- + -------------------------| | ____ / ____ / ___ ___ / ____ / ___ ___ / ___ / ____ / ___ ____ / ____ / ___ ___ / ____ / ___ ___ / ___ / ____ / ___ ____ / ____ / ___ ___ / ____ / ___ ___ / ___ / ____ / ___ ____ / ____ / ___ ___ / ____ / ___ ___ / ___ / ____ / ___ ____ / ____ / ___ ___ / ____ / ___ ___ / ___ / ____ / ___ | 2*\/ 5 *log|---- + x + ---------- + x*|- -- - -------- + ----------------------- + -----------------------| - ------------------------- - --------------------------| | / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ | | / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ | | / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ | | / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ | | / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ | | / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ / ____ / ___ ___ / ____ / ___ ____ / ___ / ____ / ___ || | y |log(1 + x) \\/ 10 *\/ 10 - \/ 10 *\/ 3 + \/ 5 - 3*\/ 2 *\/ 10 - \/ 10 *\/ 3 + \/ 5 - 2*\/ 5 *\/ 3 + \/ 5 *\/ 10 - \/ 10 *\/ 3 + \/ 5 \/ 10 *\/ 10 - \/ 10 *\/ 3 + \/ 5 - 3*\/ 2 *\/ 10 - \/ 10 *\/ 3 + \/ 5 - 2*\/ 5 *\/ 3 + \/ 5 *\/ 10 - \/ 10 *\/ 3 + \/ 5 \/ 10 *\/ 10 - \/ 10 *\/ 3 + \/ 5 - 3*\/ 2 *\/ 10 - \/ 10 *\/ 3 + \/ 5 - 2*\/ 5 *\/ 3 + \/ 5 *\/ 10 - \/ 10 *\/ 3 + \/ 5 \/ 10 *\/ 10 - \/ 10 *\/ 3 + \/ 5 - 3*\/ 2 *\/ 10 - \/ 10 *\/ 3 + \/ 5 - 2*\/ 5 *\/ 3 + \/ 5 *\/ 10 - \/ 10 *\/ 3 + \/ 5 \/ 10 *\/ 10 - \/ 10 *\/ 3 + \/ 5 - 3*\/ 2 *\/ 10 - \/ 10 *\/ 3 + \/ 5 - 2*\/ 5 *\/ 3 + \/ 5 *\/ 10 - \/ 10 *\/ 3 + \/ 5 / \242 242 \ 11 11 22 11 / 484 484 / \4 20 / \16 8 \ 8 8 16 16 / 64 64 / \4 20 / \16 8 \ 8 8 16 16 / 64 64 / \ 242 242 \11 11 22 11 / 484 484 / \ 242 242 \11 11 11 22 / 484 484 / \\/ 10 *\/ 10 - \/ 10 *\/ 3 - \/ 5 + 3*\/ 2 *\/ 10 - \/ 10 *\/ 3 - \/ 5 + 2*\/ 5 *\/ 3 - \/ 5 *\/ 10 - \/ 10 *\/ 3 - \/ 5 \/ 10 *\/ 10 - \/ 10 *\/ 3 - \/ 5 + 3*\/ 2 *\/ 10 - \/ 10 *\/ 3 - \/ 5 + 2*\/ 5 *\/ 3 - \/ 5 *\/ 10 - \/ 10 *\/ 3 - \/ 5 \/ 10 *\/ 10 - \/ 10 *\/ 3 - \/ 5 + 3*\/ 2 *\/ 10 - \/ 10 *\/ 3 - \/ 5 + 2*\/ 5 *\/ 3 - \/ 5 *\/ 10 - \/ 10 *\/ 3 - \/ 5 \/ 10 *\/ 10 - \/ 10 *\/ 3 - \/ 5 + 3*\/ 2 *\/ 10 - \/ 10 *\/ 3 - \/ 5 + 2*\/ 5 *\/ 3 - \/ 5 *\/ 10 - \/ 10 *\/ 3 - \/ 5 \/ 10 *\/ 10 - \/ 10 *\/ 3 - \/ 5 + 3*\/ 2 *\/ 10 - \/ 10 *\/ 3 - \/ 5 + 2*\/ 5 *\/ 3 - \/ 5 *\/ 10 - \/ 10 *\/ 3 - \/ 5 / \242 242 \ 11 11 11 22 / 484 484 / \8*\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 6*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 5*\/ 10 *\/ 3 + \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 8*\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 6*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 5*\/ 10 *\/ 3 + \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 8*\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 6*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 5*\/ 10 *\/ 3 + \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 8*\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 6*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 5*\/ 10 *\/ 3 + \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 8*\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 6*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 5*\/ 10 *\/ 3 + \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 / \8*\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 - 6*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 + 5*\/ 10 *\/ 3 - \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 8*\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 - 6*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 + 5*\/ 10 *\/ 3 - \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 8*\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 - 6*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 + 5*\/ 10 *\/ 3 - \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 8*\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 - 6*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 + 5*\/ 10 *\/ 3 - \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 8*\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 - 6*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 + 5*\/ 10 *\/ 3 - \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 / \\/ 5 - \/ 5 + \/ 5 *\/ 5 - \/ 5 \/ 5 - \/ 5 + \/ 5 *\/ 5 - \/ 5 \/ 5 - \/ 5 + \/ 5 *\/ 5 - \/ 5 / \- \/ 5 + \/ 5 + \/ 5 *\/ 5 + \/ 5 - \/ 5 + \/ 5 + \/ 5 *\/ 5 + \/ 5 - \/ 5 + \/ 5 + \/ 5 *\/ 5 + \/ 5 / \ 18*\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 8*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 3*\/ 10 *\/ 3 + \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 18*\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 8*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 3*\/ 10 *\/ 3 + \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 18*\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 8*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 3*\/ 10 *\/ 3 + \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 18*\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 8*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 3*\/ 10 *\/ 3 + \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 18*\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 8*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 + 3*\/ 10 *\/ 3 + \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 + \/ 5 / \ 18*\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 - 8*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 + 3*\/ 10 *\/ 3 - \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 18*\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 - 8*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 + 3*\/ 10 *\/ 3 - \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 18*\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 - 8*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 + 3*\/ 10 *\/ 3 - \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 18*\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 - 8*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 + 3*\/ 10 *\/ 3 - \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 18*\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 - 8*\/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 + 3*\/ 10 *\/ 3 - \/ 5 *\/ 15 - 2*\/ 10 *\/ 3 - \/ 5 /| | ------ dx = C + y*|---------- - 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----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| | 5 \ 5 5 25 5 5 25 25 5 25 5 5 5 5 5 5 / | x + 1 | /
/log(2) / 4 3 2 \\ / 4 3 2 \ y*|------ + RootSum\625*t + 125*t + 25*t + 5*t + 1, t -> t*log(1 + 5*t)/| - y*RootSum\625*t + 125*t + 25*t + 5*t + 1, t -> t*log(5*t)/ \ 5 /
=
/log(2) / 4 3 2 \\ / 4 3 2 \ y*|------ + RootSum\625*t + 125*t + 25*t + 5*t + 1, t -> t*log(1 + 5*t)/| - y*RootSum\625*t + 125*t + 25*t + 5*t + 1, t -> t*log(5*t)/ \ 5 /
y*(log(2)/5 + RootSum(625*_t^4 + 125*_t^3 + 25*_t^2 + 5*_t + 1, Lambda(_t, _t*log(1 + 5*_t)))) - y*RootSum(625*_t^4 + 125*_t^3 + 25*_t^2 + 5*_t + 1, Lambda(_t, _t*log(5*_t)))
Use the examples entering the upper and lower limits of integration.