Question

Evaluate the following functions w.r.t. x

$\int {(3x^2-5)}^{2}dx$

Answer 1

$I=\int {(3x^2-5)}^{2}dx$
$=\int (9x^4+25-30x^2)dx$
$=9.\frac{x^5}{5}+25x-30.\frac{x^3}{3}+C$
$=\frac{9}{5}{x}^5+25x-10x^3+C$