Question

\[ \int_{-\frac{\pi}{6}}^{\frac{\pi}{6}} \frac{\sin^5x\cos^3x}{x^4}\,dx= \]

• A. \(\frac{\pi}{2}\)
• B. \(\frac{\pi}{4}\)
• C. \(0\)
• D. \(1\)

Hint:

Before solving symmetric definite integrals, always check whether the integrand is odd or even.

Answer 1

The Correct Option is C