logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
0 votes

$\int x \sin x \cos x dx$

$(a)\;\frac{x}{4} \cos 2x-\frac{\sin 2x}{4}+c \qquad(b)\;\frac{-x}{4} \cos 2x+\frac{\sin 2x}{4}+c \qquad(c)\;\frac{-x}{4} \sin 2x + \frac{\cos 2x}{4}+c \qquad (d)\;None$
Can you answer this question?
 
 

1 Answer

0 votes
=> $\large\frac{1}{2}$$\int x. \sin 2x dx$
=> $\large\frac{1}{2} .\int x. \frac{(-) \cos 2x}{2} + \frac{1}{2} $$\int 1 \times \large\frac{\cos 2x}{2}$$dx$
=>$\large\frac{-x}{4} $$\cos 2x+\large\frac{\sin 2x}{4}$$+c$
Hence b is the correct answer.
answered Dec 24, 2013 by meena.p
 
Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...