Practicing Success
Practicing Success
CUET Preparation Today
$\int x^2 e^{x^3} \cos \left(e^{x^3}\right) d x$ is equal to |
$\sin \left(e^{x^3}\right)+C$ $3 \sin \left(e^{x^3}\right)+C$ $\frac{1}{3} \sin \left(e^{x^3}\right)+C$ $e^x \sin \left(e^{x^3}\right)+C$ |
$\frac{1}{3} \sin \left(e^{x^3}\right)+C$ |
We have, $I=\int x^2 e^{x^3} \cos \left(e^{x^3}\right) d x=\frac{1}{3} \int \cos \left(e^{x^3}\right) 3 x^2 e^{x^3} d x$ $\Rightarrow I =\frac{1}{3} \int \cos \left(e^{x^3}\right) d\left(e^{x^3}\right)=\frac{1}{3} \sin \left(e^{x^3}\right)+C$ |
