The value of $\int\limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(x^3+x \cos x+\tan ^5 x+1\right) d x$ is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $\pi$
$\int\limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(x^3+x \cos x+\tan ^5 x+1\right) d x$
$=\int\limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(1\right) d x$
$=\pi$