Wallis Integral
Define:
$$I_n=\int_0^{\frac{\pi}{2}}\sin^n x\,dx$$
Then:
$$I_n=\int_0^{\frac{\pi}{2}}\cos^n x\,dx$$
Usage
- Used for definite integrals involving integer powers of sine or cosine.
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CAT Formulas
Indefinite Integration
Wallis Integral
Wallis Integral
Define:
$$I_n=\int_0^{\frac{\pi}{2}}\sin^n x\,dx$$
Then:
$$I_n=\int_0^{\frac{\pi}{2}}\cos^n x\,dx$$
Usage
- Used for definite integrals involving integer powers of sine or cosine.
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