" 25."int(cot x)/(cosec x-cot x)dx

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

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

Evaluate: ( i int(cos x)/(1-cos x)dx or int(cot x)/(csc x-cot x)dx (ii) int(cos^(2)x-sin^(2)x)/(sqrt(1+cos4x))dx

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

If int(cosec^(2)x)/((cosec x+cot x)^(9/2))dx =(cosec x-cot x)^(7/2)((1)/(alpha)+((cosec x-cot x)^(2))/(11))+C (where C is constant of integration and a in N ),then a is -

Find the following integrals : (i) int (sinx+cosx)dx (ii) int "cosec" x ("cosec" x+cot x)dx (iii) int (1-sinx)/(cos^(2)x)dx

int cosec x (cot x-1) e^x dx

itn "cosec" x log ("cosec" x-cot x)dx=

If y = sqrt((cosec x - cot x)/(cosec x + cot x)) and 0lt x lt pi/2 then, dy/dx =

int cosec^2 x dx=- cot x