Answer :

We can write Sin2x = 2sinx.cosx

Let Sinx = t

Cosxdx = dt

Using BY PART METHOD. Using the superiority list as ILATE (Inverse Logarithm Algebra Trigonometric Exponential). Taking the first function to the one which comes first in the list.

Here t is the first function and et as the second function.

Replacing t with sin x

= 2esinx(sinx - 1) + c

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