Question

Integrate:
$\int \left(x^2+5x^5+7x^7\right)dx$

Answer 1

Consider the given integral.

$I=\int (x^2+5x^5+7x^2)dx$

We know that

$\int x^{n}dx=\frac{x^{n+1}}{n+1}+C$

Therefore,

$I=\frac{x^3}{3}+\frac{5x^6}{6}+\frac{7x^8}{8}+C$

Hence, this is the answer.