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int(pi//4)^(pi//2)(costheta)/((cos\ (the...

`int_(pi//4)^(pi//2)(costheta)/((cos\ (theta)/(2)+sin\ (theta)/(2)))\ d theta`

Text Solution

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`I=int_(pi//4)^(pi//2)([cos.(theta)/(2)-sin.(theta)/(2)])/((cos.(theta)/(2)+sin.(theta)/(2))^(1//2))dx`. Now, put `cos.(theta)/(2)+sin.(theta)/(2)=t`.
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