Q. $\frac{d}{dx}\int_{2}^{x^{2}}{(t - 1)dt}$ is equal to
A) $x^{2} - 1$
B) $x\left( x^{2} - 1 \right)$
C) $x - 1$
D) $2x(x^{2} - 1)$
Explanation
(d)
$\frac{d}{dx}\int_{2}^{x^{2}}{(t - 1)dt = \frac{d}{dx}\left\{ \frac{x^{4}}{2} - x^{2} \right\} = 2x(x^{2} - 1)}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.