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Question

Integrate:
11+cosxdx

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Solution

11+cosxdx=1cosx(1+cosx)(1cosx)dx

=1cosx1cos2xdx

=1cosxsin2xdx

=1sin2xdxcosxsin2xdx

=cosec2xdxcotxcosecxdx

=cotx+cscx+C


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