Question

integral of cos2xlogsinx

Answer 1

Easy boy...
Use integration by parts for two diiferent functions multiplying.
∫cos(2x)log(sinx)dx
Acc. to ILATE(inverse log algebraic trigo exponential) cos(2x) is 2 and log(sinx) is 1.
Now solve...

Answer 2

Here is ur answer. It has been solved using the integration by parts method.You can also solve it using the method of substitution, but it will be a lengthy process.