Question

Integral (x^2-2)(x^2)^3?

Answer 1

$\int(x^2-2)(x^2)^3\,dx=\\\\\\\int\,x^6(x^2-2)\,dx=\\\\\\\int\,(x^8-2x^6)\,dx=\\\\\\\left[\frac{x^9}{9}-\frac{2x^7}{7}\right]=\\\\\\\boxed{\frac{x^9}{9}-\frac{2x^7}{7}+c}$