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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
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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

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$\tan x=t$
$\int \limits_0^{\frac{\pi}{4}} \tan ^5 x \sec ^2 x dx =\int \limits_0^1 t^5 dt$
By solving this we get,
$\qquad = \large\frac{1}{6}$
Hence a is the correct answer.
answered Dec 20, 2013 by meena.p
 
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