Eduprobe
Question:
Find :∫sin2x−cos2xsinxcosxdx
Solution:
∫Sin2x−Cos2xSinx.Cosx=∫−Cos(2x)0.5⋅Sin(2x)
Let Sin(2x)=t
then dt=Cos(2x)⋅2
then=∫−dtt=−lnt=−ln(Sin(2x))+c
∫Sin2x−Cos2xSinx.Cosx=∫−Cos(2x)0.5⋅Sin(2x)
Let Sin(2x)=t
then dt=Cos(2x)⋅2
then=∫−dtt=−lnt=−ln(Sin(2x))+c