A) value of b
B) value of c
C) value of a
D) values of a and b
Correct Answer: B
Solution :
Let \[I=\int_{-2}^{2}{(a{{x}^{3}}+bx+c)dx}\] We know,\[\int_{-a}^{a}{f(x)dx=\left\{ \begin{matrix} 2\int_{0}^{a}{f(x)\,dx,} & if & f(-x)=f(x) \\ 0, & if & f(-x)=-f(x) \\ \end{matrix} \right.}\] In the given integral, \[a{{x}^{3}}\]and bx are odd functions. Hence, it depends only on the value of c.You need to login to perform this action.
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