Question
Verify Rolle's theorem for the function $f(x)=\frac{2}{e^x+e^{-x}}$ on $[-1,1]$.
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$\int_{\pi / 4}^{\pi / 2} \frac{\cos \theta}{\left[\cos \frac{\theta}{2}+\sin \frac{\theta}{2}\right]^3} d \theta$
It lies in XZ plane and makes $45^{\circ}$ with positive $Z$-axis and $|\bar{a}|=10$