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Reduction Formula for Sine Powers
Define:
$$I_n=\int\sin^n x\,dx$$
Then:
$$I_n=-\frac{\sin^{n-1}x\cos x}{n}+\frac{n-1}{n}I_{n-2}$$
Usage
- Used to reduce an integral involving a high power of sine.
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Reduction Formula for Sine Powers
Define:
$$I_n=\int\sin^n x\,dx$$
Then:
$$I_n=-\frac{\sin^{n-1}x\cos x}{n}+\frac{n-1}{n}I_{n-2}$$
Usage
- Used to reduce an integral involving a high power of sine.
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