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32.(1)/(1+cot x)...

32.(1)/(1+cot x)

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int(1+cot^(2)x)/(1+cot x)backslash dx

int(1+cot^(2)x)/(1+cot x)backslash dx

int(dx)/(1+cot x)1+cot x

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tan^(-1)(cot x)-tan^(-1)(cot2x)=

tan^(-1)(cot x)+cot^(-1)(tan x)

tan^(-1) (cot x) +cot^(-1)(tan x) =

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int(1-cot x)/(1+cot x)dx