Question
If $f$ is continuous, prove that$$\int_{0}^{\pi / 2} f(\cos x) d x=\int_{0}^{\pi / 2} f(\sin x) d x$$
Step 1
Step 1: Consider the left hand side of the equation, which is $\int_{0}^{\pi / 2} f(\cos x) d x$. Show more…
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