362

Part of 2008 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 362

Source: 2008 Miyazaki University entrance exam/Agriculture

Evaluate the following definite integrals. (1)

\int_0^{\frac{\pi}{2}} x\cos x\ dx

. (2) \int_1^2 \frac{1}{x(x\plus{}1)}\ dx. (3) \int_0^1 \frac{1}{1\plus{}e^x}\ dx. (4)

\int_0^{\frac{\pi}{4}} \cos 2x \cos 3x \ dx

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