Re: some scary integrals

Posted by Deepak_Ka on Apr 23, 2014; 8:32am
URL: http://discussion-forum.276.s1.nabble.com/some-scary-integrals-tp7587639p7587658.html

Ok,I will show it for first ques,the second will follow the same.

f(x)=sin^50x/(sin^50x+cos^50x)
now applying f(x)=f(a+b-x)
f(x)=cos^50x/(cos^50x+sin^50x)

add the two
2f(x)=1
so,f(x)=1/2
on solving as integral we get answer as pie/4.

same approach can be applied to 2nd ques too.