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