The value of $\int_{–\pi/2}^{\pi/2}{(x^{3}} + x\cos{x + an^{5}{x + 1)dx}}$is equal to

Question

The value of $\int_{–\pi/2}^{\pi/2}{(x^{3}} + x\cos{x + 	an^{5}{x + 1)dx}}$is equal to

Dr. Abubacker · Accepted Answer

(c)
Let $I = \int_{- \pi/2}^{\pi/2}{(x^{3} + x\cos{x + 	an^{5}{x + 1)dx}}}$
Since, $x^{3},x\cos{x\ and	an^{5}{x\ are\ odd\ functions,}}$
$therefore$
$I = \int_{- \pi/2}^{\pi/2}{1dx = \lbrack xbrack_{- \pi/2}^{\pi/2} = \pi}$

Q. The value of $\int_{–\pi/2}^{\pi/2}{(x^{3}} + x\cos{x + \tan^{5}{x + 1)dx}}$is equal to

Explanation

Reviewed by Dr. Abubacker

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