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Today's calculation of Integral 391

Source: 1992 Tokyo Gakugei University entrance exam/Science

November 13, 2008
calculusintegrationtrigonometrycalculus computations

Problem Statement

Evaluate \int_0^{\frac {\pi}{2}} \sin |2x \minus{} a|\ dx for a real number a[0, π] a\in{[0,\ \pi]}.