# I think that my integral is wrong

Integral of ((Tan x)^6)dx

i think that the solution is:

(1/5)(tan x)^5 + (1/3)(tan x)^3 - (2/3)(tan x)^3 + tan x - x + c

but if i derivate this solution it lead me to that:

(tan x)^4((tan x)^2 + 2)

?????????????????????????

Yes, your integral is incorrect; however, try expanding the expression and then integrating.

Dick
Homework Helper
I think your integral is correct. It must be the differentiation that is causing the problem. But no one can tell you why until you show your work.

cristo
Staff Emeritus