oo / | | 1 | 1*------------ dx | 2 | x - 4*x + 5 | / -oo
Integral(1/(x^2 - 4*x + 5), (x, -oo, oo))
/ | | 1 | 1*1*------------ dx | 2 | x - 4*x + 5 | /
1 1 1*------------ = ----------------- 2 / 2 \ x - 4*x + 5 1*\(-x + 2) + 1/
/ | | 1 | 1*1*------------ dx | 2 = | x - 4*x + 5 | /
/ | | 1 | ------------- dx | 2 | (-x + 2) + 1 | /
/ | | 1 | ------------- dx | 2 | (-x + 2) + 1 | /
v = 2 - x
/ | | 1 | ------ dv = atan(v) | 2 | 1 + v | /
/ | | 1 | ------------- dx = atan(-2 + x) | 2 | (-x + 2) + 1 | /
C + atan(-2 + x)
/ | | 1 | 1*------------ dx = C + atan(-2 + x) | 2 | x - 4*x + 5 | /
Use the examples entering the upper and lower limits of integration.