Evaluate the rollowing integral using integration by parts.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}xsin(\frac{1}{4}xdx)$

Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below.

A$.-4xcos(\frac{1}{4}x)-{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(-4cos(\frac{1}{4}x))dx$

B$.-4cos(\frac{1}{4}x)-{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(-4xcos(\frac{1}{4}x))dx$

C$.4xcos(\frac{1}{4}x){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(4cos(\frac{1}{4}x))dx$

D$.\frac{1}{4}xcos4x{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(\frac{1}{4}cos4x)dx$

Evaluate the integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}xsin(\frac{1}{4}xdx)=$