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Question

cos2x1cos2x+1dx is equal to.

A
tanxx+c
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B
x+tanx+c
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C
xtanx+c
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D
xcotx+c
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Solution

The correct option is C xtanx+c
Let I=cos2x1cos2x+1dx
I=(1cos2x)(1+cos2x)dx
I=2sin2x2cos2xdx
I=tan2xdx
I=(sec2x1)x
I=sec2xdx+1dx
I=tanx+x+c
I=xtanx+c

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