## anonymous 5 years ago ∫1/x(1+x^2 ) ⅆx

1. bahrom7893

use partial fractions: A/x + B/(1+x^2) = 1

2. bahrom7893

A + Ax^2 + Bx = 1 .... hmmm doesnt work does it

3. bahrom7893

wait lets try again: $\int\limits_{}^{}1/[x(1+x^2)]dx = \int\limits_{}^{}xdx/[x^2(1+x^2)]$ Let u = x^2, du= 2x dx