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  • Integrate: cosec x / cos^2 (1+log tan x/2 )

Integrate: cosec x / cos^2 (1+log tan x/2 )

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Solution:

                              I=int fraccsc xcos^2(1+log an fracx2)dx

                    Let         1+log tan fracx2=t  

                       herefore            frac1sin xdx=dt

                    \ \ Rightarrow I=int frac1cos^2tdt= an t+c\ \ Rightarrow I= an (1+log an fracx2)+c.

Posted by

Deependra Verma

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