Mathematics · important

Definite integral of powers of sine and cosine equality for JEE

Evaluation of definite integrals

Formula

\[\int_0^{\pi/2} \sin^m x\cos^n x\,dx=\int_0^{\pi/2} \sin^n x\cos^m x\,dx\]

Variables: \(m,n\) are real numbers for which integral exists.

Symmetry in trigonometric definite integrals.

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