I'm having trouble evaluating the integral
∫ln(sinx)sin2xdx.
I tried u-substitution and integration by parts but they didn't work.
Answer
Here is a start. using integration by parts,
∫udv=uv−∫vdu.
Let
u=ln(sin(x))⟹u′=cos(x)sin(x)=cot(x),v=∫dxsin2x=−cot(x).
Can you finish it now?
No comments:
Post a Comment