Question:medium

The value of the definite integral $\int_{-\pi/2}^{\pi/2} (x^3 + x\cos x + \tan^5 x + 1) \, dx$ is:

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Odd powers of $x$, $\tan x$, and combinations like $x \cos x$ are odd functions. They vanish completely over symmetric limits like $[-a, a]$.
Updated On: May 31, 2026
  • $\pi$
  • $\frac{\pi}{2}$
  • $0$
  • $2\pi$
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The Correct Option is A

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