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CUET
-- Mathematics - Section A
Definite Integration
The value of $\int\limits_{-2}^2\left(a x^3+b x+c\right) d x$ depends on
b
c
a
a and b
$I=\int\limits_{-2}^2\left(a x^3+b x\right) d x+c \int\limits_{-2}^2 d x=0+c . 4=4 c$
(∵ ax3 + bx is an odd function of x).
Hence (2) is the correct answer.