Q. If $\int_{a}^{b}{x^{3}\ dx = 0}$ and if $\int_{a}^{b}{x^{2}\ dx = \frac{2}{3}}$, then the values of $a\ and\ b$ are respectively
A) 1,1
B) $- 1, - 1$
C) $1, - 1$
D) $- 1,1$
Explanation
(d)
Given, $\int_{a}^{b}{x^{3}\ dx = 0}$ and $\int_{a}^{b}{x^{2}\ dx = \frac{2}{3}}$
If we take $a = - 1$ and $b = 1$, then it will satisfy the given integration.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.