What is the value of ∫0π2x esin(x)cos(x) dx\int_0^{\frac{\pi}{2}} x\,e^{\sin(x)} \cos(x)\, dx∫02πxesin(x)cos(x)dx?
e−π2e - \frac{\pi}{2}e−2π
π2e−∫0π2esin(x)dx\frac{\pi}{2} e - \int_0^{\frac{\pi}{2}} e^{\sin(x)} dx2πe−∫02πesin(x)dx
e−1e - 1e−1
π2\frac{\pi}{2}2π
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AI Tutor 6:54 AM
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