If , then find…

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

If ∫sin⁡(101x)sin⁡99x dx=sin⁡(100x)(sin⁡x)λμ\int\sin(101x)\sin^{99}x\,dx=\frac{\sin(100x)(\sin x)^\lambda}{\mu}, then find λμ\frac{\lambda}{\mu}.

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