integration solution

Question

∫x^3/(1+x^2)dx

\(\int \frac{x^3}{1 + x^2}dx \)

Answer 1

\(\int \frac{x^3}{1 + x^2}dx = \int (x - \frac x{1 + x^2})dx\)

\(= \frac{x^2}2 - \frac 12 ln (1 + x^2)\)