Value of the integral $\int_{–\pi/2}^{\pi/2}{\cos{x\ dx}}is$

Question

Dr. Abubacker · Accepted Answer

(b)
Let $I = \int_{- \pi/2}^{\pi/2}{\cos{x\ dx}}$
Since, $\cos( - x) = \cos x$
$	herefore I = 2\int_{0}^{\pi/2}{\cos{x\ dx = 2\left\lbrack \sin x ightbrack_{0}^{\pi/2}} = 2}$

Q. Value of the integral $\int_{–\pi/2}^{\pi/2}{\cos{x\ dx}}is$

Explanation

Reviewed by Dr. Abubacker

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