Pls help with detailed solution of the first one. Asap! I have reuploaded pls help!

hello surya, the first question is actually wrongly typed. it is a ques from integral calculus by kumar, and the mistake is that the denominator should be squared.

then the ques can be easily solved by substituting u= cot^2009x.

the final ans would be

a=2, b= 2008 and c= 2009

so that a + b + c= 4019

if u r still not able to solve, then simply google search: ln(cotx)*(sin2x)^2008/((sinx)^2009+(cosx)^2009) and there will be a google books result, click on that and u shall find the complete soln