Let x = sin t ; t = sin - 1x
dx = cos 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 the first function to the one which comes first in the list.
Here t is the first function and sin 2t as the second function.
We know that cos2t = 1 - 2sin2t , sin2t = 2sint×cost and cos t = √1 - sin2t
Replacing in above equation
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