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Q. The value of the integration $\int\limits_{-4}^4\left(a x^3+b x+c\right) d x$ depends on

Integrals

Solution:

$\int\limits_{-4}^4\left(a x^3+b x+c\right) d x=\int\limits_{-4}^4\left(a x^3+b x\right) d x+\int\limits_{-4}^4 c d x$
$=0+2 c \int\limits_0^4 d x=8 c$