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 $ .