1 / | | 1 | 1*---------------- dx | 2 | 2*x - 12*x + 26 | / 0
Integral(1/(2*x^2 - 12*x + 26), (x, 0, 1))
/ | | 1 | 1*1*---------------- dx | 2 | 2*x - 12*x + 26 | /
1 1 1*---------------- = ------------------ 2 / 2 \ 2*x - 12*x + 26 |/ x 3\ | 8*||- - + -| + 1| \\ 2 2/ /
/ | | 1 | 1*1*---------------- dx | 2 = | 2*x - 12*x + 26 | /
/ | | 1 | -------------- dx | 2 | / x 3\ | |- - + -| + 1 | \ 2 2/ | / -------------------- 8
/ | | 1 | -------------- dx | 2 | / x 3\ | |- - + -| + 1 | \ 2 2/ | / -------------------- 8
3 x v = - - - 2 2
/ | | 1 | ------ dv | 2 | 1 + v | / atan(v) ------------ = ------- 8 8
/ | | 1 | -------------- dx | 2 | / x 3\ | |- - + -| + 1 | \ 2 2/ / 3 x\ | atan|- - + -| / \ 2 2/ -------------------- = ------------- 8 4
/ 3 x\ atan|- - + -| \ 2 2/ C + ------------- 4
/ / 3 x\ | atan|- - + -| | 1 \ 2 2/ | 1*---------------- dx = C + ------------- | 2 4 | 2*x - 12*x + 26 | /
pi atan(3/2) - -- + --------- 16 4
=
pi atan(3/2) - -- + --------- 16 4
Use the examples entering the upper and lower limits of integration.