Question

Prove that:
$\int x^5(x+7)dx$

Answer 1

We have,

$I=\int x^5(x+7)dx$

$I=\int x^{6}dx+\int 7x^{5}dx$

$I=\frac{x^7}{7}+\frac{7x^6}{6}+C$

Hence, this is the answer.