Definite Integration Question 163
Question: The value of $ \int _{-2}^{2}{(ax^{3}+bx+c)} $ depends on
[MNR 1988; UPSEAT 2000]
Options:
A) The value of $ a $
B) The value of $ b $
C) The value of $ c $
D) The values of $ a $ and $ b $
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Answer:
Correct Answer: C
Solution:
$ \int _{-2}^{2}{(ax^{3}+bx+c)dx=[ \frac{ax^{4}}{4}+\frac{bx^{2}}{2}+cx ]} _{-2}^{2} $ = 4c.
Hence depends on $ c $ .