Question

Evaluate: $\int \left(\cos \right(x)+x^2)dx$

• A. $\sin x+\frac{x^3}{2}+C$
• B. $\sin x+\frac{x^3}{6}+C$
• C. $\sin x+\frac{x^2}{3}+C$
• D. $\sin x+\frac{x^3}{3}+C$

Answer 1

The correct option is D $\sin x+\frac{x^3}{3}+C$

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