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Today's calculation of Integral 811

Source: 2012 Okayama Prefectural University entrance exam

April 10, 2012
calculusintegrationtrigonometrycalculus computations

Problem Statement

Let aa be real number. Evaluate ∫aa+π∣x∣cos⁡x dx.\int_a^{a+\pi} |x|\cos x\ dx.
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