$\int_{- \pi/2}^{\pi/2}{\frac{dx}{1 + \cos x}is}$ equal to

Question

Dr. Abubacker · Accepted Answer

(c)
Let $I = \int_{- \pi/2}^{\pi/2}\frac{dx}{2\cos^{2}\frac{x}{2}}$
$= \int_{0}^{\pi/2}{\sec^{2}{\frac{x}{2}dx = \left\lbrack 2	an\frac{x}{2} ightbrack_{0}^{\pi/2}} = 2}$

Q. $\int_{- \pi/2}^{\pi/2}{\frac{dx}{1 + \cos x}is}$ equal to

Explanation

Reviewed by Dr. Abubacker

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