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The value of $\int\limits^{2}_{-3}x^2|2x|dx$ is : |
65 $-\frac{65}{2}$ 97 $\frac{97}{2}$ |
$\frac{97}{2}$ |
The correct answer is Option (4) → $\frac{97}{2}$ $\int\limits^{2}_{-3}x^2|2x|dx$ $=\int\limits^{0}_{-3}2x^3dx+\int\limits^{2}_{0}2x^3dx$ $=\left[\frac{x^4}{2}\right]^{0}_{-3}+\left[\frac{x^4}{2}\right]^{2}_{0}$ $=\frac{81+16}{2}=\frac{97}{2}$ |
