Question

Integrate the following functions with respect to x: $\int (4\sin x-\frac{2}{x})dx$

• A. $4\cos x+2\ln \left(x\right)+c$
• B. $-4\cos x-2\ln \left(x\right)+c$
• C. $4\cos x-2\ln \left(x\right)+c$
• D. $-4\cos x+2\ln \left(x\right)+c$

Answer 1

The correct option is B $-4\cos x-2\ln \left(x\right)+c$

$\int (4\sin x-\frac{2}{x})dx=4\int \sin xdx-2\int \frac{dx}{x}$
$=-4\cos x-2lnx+c$