i know the solution,,,,,,but i m trying to integrate it by other type,,,,problem is that my answer is not matching,,,,so can any one tell me where i m making the mistake,,,,here is my solution....

first just convert in to sinx and cosx,,,,so we getcosx-sinx/sinx+cosxdx  =  log[sinx+cosx]+c,,,,

now see this,,,log[{sinx/+cosx/}]

now we can make this as,,,,log[{cos(-x)}]  = log[{sin(-())}]+c

so finally we get....