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Today's calculation of Integral 197

Source: Kanazawa University entrance exam 1967

April 21, 2007
calculusintegrationtrigonometryfunctionalgebrarational functioncalculus computations

Problem Statement

Let ∣a∣<π2.|a|<\frac{\pi}{2}. Evaluate the following definite integral. ∫0π2dx{sin⁡(a+x)+cos⁡x}2\int_{0}^{\frac{\pi}{2}}\frac{dx}{\{\sin (a+x)+\cos x\}^{2}}
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