Evaluate: `inttan(x+alpha)tan(2x-alpha)tan3xdx`

Evaluate: int(tan x-x)tan^(2)xdx

Evaluate: int tan x tan2x tan3xdx

Evaluate: int tan2x tan3x tan5xdx

If int tan(x-alpha)tan(x+alpha)*tan2xdx=plog|sec2x|+qlog|sec(x+alpha)|+rlog|sec(x-alpha)|+c then p+q+r= . . ..

int tan(x-alpha).tan(x+alpha).tan 2x dx is equal to

int(tan x-tan alpha)/(tan x+tan alpha)dx

Evaluate: int x^(3)tan^(-1)xdx

Show that the expression (tan(x+alpha))/(tan(x-alpha)) cannot lie between the values tan^2 (pi/4-alpha) and tan^2(pi/4+alpha)

" If "20 alpha=pi" then tan "alpha" .tan2"alpha" .tan3"alpha" ....."tan9 alpha=