Evaluate 
Let ![]()
Consider cos5x= cos4x × cosx
= (cos2x)2 × cosx
= (1- sin2x)2cosx
Let sinx=y ⇒ cosxdx=dy (Differentiating both sides)
Also, when x=0, y=0 and x=π, y=0
Hence, I become ![]()
Since
, We get ![]()
![]()
=0
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