Q. 64.0( 4 Votes )

# Evaluate the foll

Answer :

Expanding (cos x + sin x)2 = cos2x + sin2x + 2 sinx cosx

We know cos2x + sin2x = 1, 2sinxcosx = sin2x

(cos x + sin x)2 = 1 + sin2x

we can write the given equation as

Assume 1 + sin2x = t

2cos2x dx = dt

cos2xdx =

Substituting these values in the above equation we get

+ c

substituting t = 1 + 2 sin x in above equation

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