" 12."(dy)/(dx)=cosec x(3cosec x+4cot x)...

" 12."(dy)/(dx)=cosec x(3cosec x+4cot x)

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(d)/(dx) (cosec x+ cot x )=

int cosecx(cosec x + cot x) dx = ?

(dy)/(dx)-y cot x=csc x

The differentiation of cosec x with respect to xis-csc x cot x. i.e.(d)/(dx)(cosec)=-csc x cot x

Find: int cosec x (cosecx-cot x) dx

int (dx)/(cosec 4x-cot 4x)

int (dx)/(sqrt(cosec 4x - cot 4x))

int cosec^2 x dx=- cot x

If y=(cosec x-cot x)/(cosec x+cot x) then (dy)/(dx) is

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