Evaluate the following integrals:
PUT x = a sinθ, so dx = a cosθ dθ and θ = sin⁻(x/a)
Above equation becomes,
= 
= 
{take a2 outside)
= 
= 
= 
(sec2θ-1 = tan2θ)
= 
= 
= 
Put θ = sin⁻(x/a)
= 
1
Evaluate the following integrals:
PUT x = a sinθ, so dx = a cosθ dθ and θ = sin⁻(x/a)
Above equation becomes,
= = {take a2 outside)
=
= = (sec2θ-1 = tan2θ)
= =
=
Put θ = sin⁻(x/a)
=