4} f(\cos x) \cos x \,dx$, find $k$.

Asked Apr 20 '19 at 19:27

Active Apr 20 '19 at 19:34

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Find $k$ such that $$\int_{0}^{\pi/2}f(\sin 2x) \,dx = k \int_{0}^{\pi/4}f(\cos x) \cos x \,dx.$$

I applied the properties of DI , but am not able to change $\sin 2x$ into $\cos x$.

edited Apr 20 '19 at 19:34

DMcMor

asked Apr 20 '19 at 19:27

maveric

2

What properties of $f$ do you know, because without further information $k$ cannot be found. – Peter Foreman Apr 20 '19 at 19:34

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