20.quad (8cot x+1)/(3cot x+2)

Evaluate: int(8cot x+1)/(3cot x+2)dx

Show that cot (x-y)=(cot x cot y+1)/(cot y-cot x)

If none of the angles x, y and (x+y) is a multiple of pi , then cot (x+y)=(cot x cot y-1)/(cot y+cot x)

int(dx)/((cot x)/(2)*(cot x)/(3)*(cot x)/(6))

int sec^(2)x cos ec^(4)x=Atan x+2cot x-(1)/(3)cot^(3)x+CBtan x-2cot x+(1)/(3)cot^(3)x+Cctan x-2cot x-(1)/(3)cot^(3)x+CDtan x+2cot x+(1)/(3)cot^(3)x+C

lim_(xrarrpi//4)(1-cot ^3x)/(2-cot x-cot ^3x) , is

int cos ec^(6)xdx is equal to ................ 1) -cot x-(cot^(5)x)/(5)-(2cot^(3)x)/(3)+k 2) -(cot x)/(3)+(2cot^(5)x)/(5)+2cot^(-3)x+k 3) (tan^(3)x)/(3)-(tan x)/(5)+2tan^(3)x+k 4) (tan^(3)x)/(3)-(tan x)/(5)+3tan^(3)x+k

( cot x)/( cot x- cot 3x)+ ( tan x)/( tan x- tan 3x)=