Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

\(\int \frac{\sin^2x}{1+\cos x}dx\)=

Options:

\(x-\sin x+c\)

\(x+\sin x+c\)

\(x+\cos x+c\)

\(x-\cos x+c\)

Correct Answer:

\(x-\sin x+c\)

Explanation:

\(\int \frac{\sin^2xdx}{1+\cos x}=\int\frac{1-\cos^2x}{1+\cos^2x}dx\)

$=\int 1-\cos x dx$

$=x-\sin x+C$