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find the integral of sin 13 x cos 12 x
Question:
Find the integral of
\( \sin^{13} x \cos^{12} x \).
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For high powers of trigonometric functions, try reducing them using identities or substitution techniques.
Bihar Board XII - 2025
Bihar Board XII
Updated On:
Sep 13, 2025
0
1
\( \frac{1}{2} \)
2
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Solution and Explanation
The given integral can be simplified by using standard trigonometric identities and integration techniques. The final result evaluates to 0: \[ \int \sin^{13} x \cos^{12} x \, dx = 0. \]
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