Question

$$ \int_{-\pi/4}^{\pi/4} \sin^{103} x \cos^{101} x \, dx = ? $$

• A. $\left( \frac{\pi}{4} \right)^{103}$
• B. $\left( \frac{\pi}{4} \right)^{101}$
• C. $2$
• D. 0

Hint:

Whenever you see a symmetric interval like $[-a, a]$, always check if the function is odd. It often turns complex-looking trigonometric powers into a simple answer of zero.

Answer 1

The Correct Option is D