`(cot x)/("cosec x"-cot x)`

log("cosec x"-cot x)

cot^(-1)("cosec x"+cotx)

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

If y=cot^(-1) ("cosec x"+cot x),"then " dy/dx=

underset(x to 0)"Lt" ("cosec x"-cot x)/(x)=

int sqrt((csc x-cot x)/(csc x+cot x))*(sec x)/(sqrt(1+2sec x))dx

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

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

Evaluate underset(x to 0)lim ("cosec "x-cot x) .