Q. The value of $\int_{- 2}^{2}{\left( ax^{3} + bx + c \right)dx}\$depends on the
A) Value of $b$
B) Value of $c$
C) Value of $a$
D) Values of $a$ and $b$
Explanation
(b)
Let $I = \int_{- 2}^{2}{\left( ax^{3} + bx + c \right)dx}$
In the given integral, $ax^{3}$and $bx$ are odd functions. Hence, it depends only on the value of $c$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.