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Today's calculation of Integral 806

Source: 2012 Osaka Prefecture University /Science, 2nd exam

March 13, 2012
calculusintegrationtrigonometrycalculus computations

Problem Statement

Let nn be positive integers and tt be a positive real number. Evaluate ∫02ntπ∣xsin⁡ tx∣ dx.\int_0^{\frac{2n}{t}\pi} |x\sin\ tx|\ dx.
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