Ask Questions, Get Answers

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

Integrate : $\int \limits _0^{\frac{\pi}{4}} \large\frac{\sin 5 x}{\cos 7x}$$dx$

\[\begin {array} {1 1} (a)\;\frac{1}{6} \\ (b)\;\frac{1}{3} \\ (c)\;\frac{2}{3} \\ (d)\;\frac{5}{6} \end {array}\]

Can you answer this question?

1 Answer

0 votes
$\tan x=t$
$\int \limits_0^{\frac{\pi}{4}} \tan ^5 x \sec ^2 x dx =\int \limits_0^1 t^5 dt$
By solving this we get,
$\qquad = \large\frac{1}{6}$
Hence a is the correct answer.
answered Dec 20, 2013 by meena.p
Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App