Let x = cos t ; t = cos - 1x
dx = - sin t dt
We know that sin 2t = 2 sint×cost
Using BY PART METHOD. Using the superiority list as ILATE (Inverse Logarithm Algebra Trigonometric Exponential). Taking first function to the one which comes first in the list.
Here t is first function and sin 2t as second function.
We know that cos2t = 2cos2t - 1 and sin2t = 2sint×cost and sint = √1 - cos2t
Replacing in above equation
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