Q. The area bounded by the curve $y = \sec^{2}{x,\ y = 0}$ and $|x| = \frac{\pi}{3}$ is
A) $\sqrt{3}$ sq unit
B) $\sqrt{2}$ sq unit
C) $2\sqrt{3}$ sq unit
D) None of these
Explanation
(c)
Required area $= \int_{- \pi/3}^{\pi/3}{\sec^{2}{x\ dx}}$
$= \lbrack{\tan{x\rbrack}}_{- \pi/3}^{\pi/3} = 2\sqrt{3}\ sq\ unit$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.