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Today's calculation of Integral 185

Source: Yokohama National University entrance exam/Engineering 2007

February 27, 2007
calculusintegrationtrigonometrycalculus computations

Problem Statement

Evaluate the following integrals. (1) ∫0π4dx1+sin⁡x.\int_{0}^{\frac{\pi}{4}}\frac{dx}{1+\sin x}. (2) ∫432dxx2x−1.\int_{\frac{4}{3}}^{2}\frac{dx}{x^{2}\sqrt{x-1}}.
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