Given
The integral is given
[tex]\int x(x^2+1)dx[/tex]Explanation
To determine the solution to the integral.
[tex]\int x(x^2+1)dx=\int x^3+x\text{ dx}[/tex][tex]\int(x^3+x)dx=\frac{x^4}{4}+\frac{x^2}{2}+C[/tex]Answer
Hence the correct option is C.
[tex]\frac{x^4}{4}+\frac{x^2}{2}+C[/tex]
