Evaluate the following integrals:
Assume a2 + b2sin2x = t
d(a2 + b2sin2x) = dt
2b2.sinx.cosx.dx=dt
(2sinx.cosx = sin2x)
Sin2xdx =
Put t and dt in the given equation we get
⇒
=
But t = a2 + b2sin2x
= .