Let u=∫0π/4cosxsinx+cosx2dx and v=∫0π/4sinx+cosxcosx2dx, then the value of vu is

Question

Let

u = \int_{0}^{π / 4} {(\frac{\cos x}{\sin x + \cos x})}^{2} d x

and

v = \int_{0}^{π / 4} {(\frac{\sin x + \cos x}{\cos x})}^{2} d x

, then the value of

\frac{v}{u}

Correct Answer

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