Find the indefinite integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}xcos(10x^2)dx$

Step $1$

To find the indefinite integral ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}xcos(10m{x}^2)dx,$ use the trigonometric identities.

Let $u=10m{x}^2.$ The differential of $u$ with respect to $x$ is $du=xdx.$