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Problem 53 Hard Difficulty

Evaluate the definite integral.

$ \displaystyle \int^1_0 \cos(\pi t/2) \, dt $

Answer

$\frac{2}{\pi}$

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Video Transcript

the first step would be to recognize the fact that are you is gonna be pi ti over too. Which implies that r d t is to over pi, do you? Which means writing this in terms of you. We have this. We know the integral is sign of you. So now we can plug in Sign of pi Over two is one sign of 00 This gives us two over pi times one.