Question

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

Answer 1

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.

`(x^4)/(4)+(x^2)/(2)+C`