AP

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Evaluate ∫0π/42xcos⁡(x2) dx\displaystyle \int_{0}^{\pi/4} 2x\cos(x^{2})\,dx. (a) π216\dfrac{\pi^{2}}{16} (b) sin⁡ ⁣(π216)\sin\!\left(\dfrac{\pi^{2}}{16}\right) (c) 12sin⁡ ⁣(π216)\dfrac12\sin\!\left(\dfrac{\pi^{2}}{16}\right) (d) sin⁡ ⁣(π4)\sin\!\left(\dfrac{\pi}{4}\right)

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