Question

Evaluate $\int (x^3-e^x+\cos x)dx$

• A. $\frac{x^4}{4}-e^x+\sin x$
• B. $3x^2-e^x+\sin x$
• C. $\frac{x^4}{4}-e^x-\sin x$
• D. $3x^2-e^x-\sin x$

Answer 1

The correct option is C $\frac{x^4}{4}-e^x-\sin x$

$\int (x^3-e^x+\cos x)dx$
$=\int x^{3}dx-\int e^{x}dx+\int \cos xdx$
$=\frac{x^4}{4}-e^x-\sin x$