Question

$\int (\sin x+x^2)dx$ is equal to:

• A. $2x+\cos x+C$
• B. $\frac{x^2}{3}+\cos x+C$
• C. $\frac{x^3}{3}-\cos x+C$
• D. $2x-\cos x+C$

Answer 1

The correct option is C $\frac{x^3}{3}-\cos x+C$

$\int (\sin x+x^2)dx=\int \sin xdx+\int x^{2}dx$
$=-\cos x+\frac{x^3}{3}+C$
$=\frac{x^3}{3}-\cos x+C$