Integral Calculus Question 344

Question: The value of $ \int_{{}}^{{}}{x\sin kx\ dx} $ is

Options:

A) $ \frac{\sin kx}{k}+c $

B) $ \frac{\cos kx}{k}+c $

C) $ \frac{\sin x}{k}+c $

D) $ -\frac{x,\cos kx}{k}+\frac{\sin kx}{k^{2}}+c $

Show Answer

Answer:

Correct Answer: D

Solution:

$ I=\int_{{}}^{{}}{x\sin kx,dx}=\frac{-x\cos kx}{k}+\frac{\sin kx}{k^{2}}+c $