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 $