Question

Can you help me integrate function (sinx cosx)/((sinx)^3+(cosx)^3)?

Answer 1

Put u = tan(x/2)

Answer 2

Then du = 1/2sec^2(x/2)dx

Answer 3

Now use:\[\sin x = 2u/(u^2+1) ,......\cos u=(1-u^2)/(u^2+1)\]

Answer 4

http://www.wolframalpha.com/input/?i=+Integrate+%28sinx+cosx%29%2F%28%28sinx%29%5E3%2B%28cosx%29%5E3%29

Answer 5

Thank you:)

Answer 6

Welcome!