Q. 24.8( 18 Votes )

Evaluate: <

Answer :

Let I =


This can be solved by applying method of substitution:


Let, x = sin θ


θ = sin-1 x …(1)


As, x = sin θ


dx = cos θ dθ


I = { 1 – sin2θ = cos2 θ }


I =


I = sin-1 x + C {using equation 1}

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