COMEDK · Maths · 30. Definite Integration
The value of \(\int_{-2}^{2}\left(a x^{3}+b x+c\right) d x\) depends on the
- A value of \(b\)
- B value of \(c\)
- C value of \(a\)
- D values of \(a\) and \(b\)
Answer & Solution
Correct Answer
(B) value of \(c\)
Step-by-step Solution
Detailed explanation
\begin{aligned} \text { Let } I &=\int_{-2}^{2}\left(a x^{3}+b x+c\right) d x \\ &=\int_{-2}^{2}\left(a(-2+2-x)^{3}+b(-2+2) x+c\right) d x \\ \Rightarrow \quad\left[\because \int_{a}^{b} f(x) d x=\int_{a}^{b} f(a+b-x) d x\right] \\ \quad I=\int_{-2}^{2}\left(-a x^{3}-b…
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