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" Q40"int(1-cot x)/(1+cot x)dx...

" Q40"int(1-cot x)/(1+cot x)dx

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(i) int (1-tanx)/(1+tanx) dx (ii) int (1- cot x)/(1+ cot x) dx

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

int(1+cos4x)/(cot x-tan x)dx

int(1+cos4x)/(cot x-tan x)dx

int(1)/(cos x . cot x ) dx

int(1)/(cos x . cot x ) dx

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

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int(cotx+cot^3x)/(1+cot^3x)dx

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