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Today's calculation of Integral 596

Source:

April 23, 2010
calculusintegrationtrigonometrycalculus computations

Problem Statement

Find the minimum value of ∫0π2∣asin⁡2x−cos⁡2x∣dx (a>0).\int_0^{\frac{\pi}{2}} |a\sin 2x-\cos ^ 2 x|dx\ (a>0).
2009 Shimane University entrance exam/Medicine
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