Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:

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:

Options:

0

2

$\pi$

1

Correct Answer:

$\pi$

Explanation:

The correct answer is Option (3) → $\pi$

$\int\limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(x^3+x \cos x+\tan ^5 x+1\right) d x$

$=\int\limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(1\right) d x$ 

$=\pi$