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