Mathematics

Mathematics

Problem

Find the exact area of the region bounded by the curve y=xcos⁡xy=x\cos x, the xx-axis, and the vertical lines x=0x=0 and x=π2x=\dfrac{\pi}{2}. a) π2\dfrac{\pi}{2} b) π2+1\dfrac{\pi}{2}+1 c) π2−1\dfrac{\pi}{2}-1 d) 1−π21-\dfrac{\pi}{2}

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