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Question

Solve : tan1(1cos2x1+cos2x)dx

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Solution

tan1(1cos2x1+cos2x)dx

tan1(11+2sin2x1+2cos2x1)dx[cos2x=12sin2x,cos2x=2cos2x1]

tan1tan2xdx

tan1tanxdx

xdxx22+c

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