Evaluate the integral of the product if x and quantity x squared plus 1 and x, dx.

Question

asked Jan 5, 2023 192k views

1 Answer

Blackhole · Answer 1 · 2023-01-11T02:12:20+0000

Given

The integral is given

$\int x(x^2+1)dx$ Step-by-step explanation

To determine the solution to the integral.

$\int x(x^2+1)dx=\int x^3+x\text{ dx}$
$\int(x^3+x)dx=(x^4)/(4)+(x^2)/(2)+C$ Answer

Hence the correct option is C.