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Question

Evalaute
cosxdx6+4sinxcos2x

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Solution

wehave

cosxdx6+4sinxcos2x

=cosxdx6+4sinx1+sin2x

=cosxdxsin2x+4sinx+5

=cosxdx(sinx+2)2+1

putsinx=t

cosxdx=dt

=dt(t+2)2+1

=tan1(t+2)+C

=tan1(sinx+2)+C

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