Ask Questions, Get Answers

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

$\int \limits_{-\pi}^{\pi} (\cos px - \sin q x)^2 dx$ where $p \;\&\; q$ are whole number. Find its value.

$(A)\;0 \\ (B)\;- \pi \\ (C)\;\pi \\ (D)\;2 \pi $

Can you answer this question?

1 Answer

0 votes
$\int \limits_{\pi}^{\pi} \cos^2 px+ \sin ^2 qx -2 \cos px \sin qx$
$\int \limits_{-z}^{z} \cos ^2 px +\sin ^2 qx dx$
=>$\int \limits_{-\pi}^{\pi} dx$
=>$\bigg[ x \bigg]_{-\pi}^{\pi}$
=> $\pi+ \pi =2 \pi$
answered Dec 17, 2013 by meena.p

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App