Definite Integration Question 502
Question: To find the numerical value of $ \int _{-2}^{2}{(px^{2}+qx+s)dx,} $ it is necessary to know the values of constants
[IIT 1992]
Options:
A) $ p $
B) $ q $
C) $ s $
D) $ p $ and $ s $
Show Answer
Answer:
Correct Answer: D
Solution:
Given integral $ I=\int _{-2}^{2}{(px^{2}+s)}dx+q\int _{-2}^{2}{xdx} $
$ I=2\int_0^{2}{(px^{2}+s)dx+0=\frac{4}{3}(4p+3s)} $
Thus, to find the numerical value of I, it is necessary to know the value of p and s.
BETA
