Question:
Evaluate $\int_0^{\pi/2} \sin^6 x \cos^4 x dx$
Evaluate $\int_0^{\pi/2} \sin^6 x \cos^4 x dx$
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Wallis formula is best for even powers of sine and cosine.
Updated On: Jun 10, 2026
- $\frac{8}{693}$
- $\frac{\pi}{128}$
- $\frac{3\pi}{512}$
- $\frac{3\pi}{256}$
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The Correct Option is C
Solution and Explanation
Using Wallis formula:
\[
= \frac{5\cdot3\cdot1 \cdot 3\cdot1}{10\cdot8\cdot6\cdot4\cdot2} \cdot \frac{\pi}{2}
\]
\[
= \frac{3\pi}{512}
\]
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