Q. The area included between the curves $y = \frac{1}{x^{2} + 1}$ and $x$-axis is
A) $\frac{\pi}{2}$ sq unit
B) $\pi$ sq unit
C) $2\pi$ sq unit
D) None of these
Explanation
(b)
Required area $= \int_{- \infty}^{\infty}{\frac{1}{x^{2} + 1}dx}$
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$= 2\lbrack{\tan^{- 1}{x\rbrack}}_{0}^{\infty} = \pi\$sq unit
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.