Mathematics

Mathematics

Problem

Find the exact value of ∫0πsin⁡(x)x dx\displaystyle\int_{0}^{\pi} \frac{\sin(\sqrt{x})}{\sqrt{x}}\,dx. a) 2(1+cos⁡π)2\bigl(1+\cos\sqrt{\pi}\bigr) b) 2(1−cos⁡π)2\bigl(1-\cos\sqrt{\pi}\bigr) c) 1−cos⁡π1-\cos\sqrt{\pi} d) 2(1−cos⁡π)2\bigl(1-\cos \pi\bigr)

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