Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:
\(\int \sin^{3}x dx\) equals
Options:
\(-\frac{3}{4}\cos x+\frac{1}{12}\cos^{3}x+C\)
\(-\frac{3}{4}\cos x+\frac{1}{12}\cos 3x+C\)
\(-\frac{4}{3} \cos x+\frac{1}{12}\cos^{3}x+C\)
None
Correct Answer:
\(-\frac{3}{4}\cos x+\frac{1}{12}\cos 3x+C\)
Explanation:
\(\sin 3x=3\sin x-4\sin^{3}x\)