Mhelchviz
Answered

What is the answer of integral tan^6 x dx

Sagot :

Daedalusviz
int tan^6xdx
by reduction formula
((tanx)^5)/5 - int tan^4xdx
by reduction formula
((tanx)^5)/5 - ((tanx)^3)/3) + int tan^2xdx
tan^2x=sec^2x-1
((tanx)^5)/5 - ((tanx)^3)/3) + int sec^2xdx - int 1dx
((tanx)^5)/5 - ((tanx)^3)/3) + tanx - x + c