Find the value of definite integral

\int_{0}^{ \pi /4}{\frac{x^2}{(x \sin x + \cos x)^2}}dx

3 Answers

62
Lokesh Verma ·

champ i dont think you are reading the forum.. just putting your questions daily :P

We discussed this one.. very recently in a QOD...

Divide the denominator by 1+x2 and same with the numerator..

Then express the deno as sin2 (x+tan-1(1/x) )

Then proceed by taking x+tan-1(1/x) = t

1
champ ·

Thanks sir.I had read that question of Day but forgot the concept.
Thank you for reminding
:-)

62
Lokesh Verma ·

:)

SORRY THEN :)

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