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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
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If $f:\mathbb{R}\to\mathbb{R}$ is a continuous function satisfying
\[
\int_{0}^{\pi/2} f(\sin 2x)\,\sin x\,dx \;+\; \alpha \int_{0}^{\pi/4} f(\cos 2x)\,\cos x\,dx \;=\; 0,
\]
then the value of $\alpha$ is:
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