Mathematics

Mathematics

Problem

Evaluate ∫0ln⁡2xex2cos⁡(ex2) dx\displaystyle\int_{0}^{\sqrt{\ln 2}} x e^{x^{2}}\cos\bigl(e^{x^{2}}\bigr)\,dx. a) sin⁡2−sin⁡1\sin 2-\sin 1 b) cos⁡2−cos⁡12\dfrac{\cos 2-\cos 1}{2} c) sin⁡2−sin⁡12\dfrac{\sin 2-\sin 1}{2} d) sin⁡2+sin⁡12\dfrac{\sin 2+\sin 1}{2}

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