1 / | | 4*x - 10 | ----------------------- dx | / 2 \ | (x + 2)*\x - 2*x + 10/ | / 0
Integral((4*x - 10)/(((x + 2)*(x^2 - 2*x + 10))), (x, 0, 1))
/ / 1 x\ | / 2 \ atan|- - + -| | 4*x - 10 log\10 + x - 2*x/ \ 3 3/ | ----------------------- dx = C + ------------------ - log(2 + x) + ------------- | / 2 \ 2 3 | (x + 2)*\x - 2*x + 10/ | /
log(9) log(10) atan(1/3) ------ - log(3) - ------- + --------- + log(2) 2 2 3
=
log(9) log(10) atan(1/3) ------ - log(3) - ------- + --------- + log(2) 2 2 3
log(9)/2 - log(3) - log(10)/2 + atan(1/3)/3 + log(2)
Use the examples entering the upper and lower limits of integration.