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99

Part of 2006 Today's Calculation Of Integral

Problems(1)

Today's calculation of integral 99

Source: 1980 Meiji University entrance exam

3/30/2006
Let θ\theta be a constant number such that 0≤θ≤π.0\leq \theta \leq \pi. Evaluate ∫02πsin⁡8x∣sin⁡(x−θ)∣ dx. \int_0^{2\pi} \sin 8x|\sin (x-\theta)|\ dx.
calculusintegrationtrigonometryreal analysissymmetryfunctioncalculus computations