(x)/(15)*tan^(3)2x sec2x

Integrate the functions quad tan^(3)2x sec2x

What is the simplified value of [ ((sec^(3)x - tan^(3)x ))/((sec x - tan x ))]-2 tan^(2)x - sec x tan x ?

int((3tan^(2)x+2)sec^(2)x)/(tan^(3)x+2tan x+5)dx

Prove that :sec^(6)x-tan^(6)x-3sec^(2)x" ."tan^(2)x=1

f(x)=tan(x/2)sec x+tan(x/2^(2))sec(x/2)+tan(x/2^(3))sec(x/2^(2))+.....+tan(x/2^(n))*sec(x/2^(n-1)) and g(x)=f(x)+tan((x)/(2^(n))) where x in(-(pi)/(2),(pi)/(2)) and n in N then g(x) is

f((2tan x)/(1+tan^(2)x))=((cos2x+1)(sec^(2)x+tan x))/(2) then f(x)=

log(sec.(x)/(2)+tan.(x)/(2))

If 0<(x)<(pi/4) , then sec2x-tan2x=