Question

Determine a integral indefinida ∫x2(5+2x3)8dx∫x2(5+2x3)8dx

Answer 1

$\int {x^2(5+2x^3)} \, dx =\\\\\int {5x^2+2x^5} \, dx=\\\\\dfrac{5x^3}{3}+\dfrac{2x^6}{6}+C=\dfrac{5x^3+x^6+C}{3}$