Q. To find the numerical value of $\int_{- 2}^{2}{\left( px^{3} + qx + s \right)dx,\ it}$ is necessary to know the values of the constants
A) $p$
B) $q$
C) $s$
D) $p\$and $s$
Explanation
(c)
Let $I = \int_{- 2}^{2}{\left( px^{3} + qx + s \right)dx = 0 + 0 + \int_{- 2}^{2}{sdx}}$
[$\because px^{3}$and $qx$ are odd functions$\rbrack$
$= 2s\lbrack x\rbrack_{0}^{2} = 4s$
Hence, it is necessary to know the value of $s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.