Integrate the following functions w.r.t. x : sec^2 x√(tan^2 x + tan x - 7)

Question

Integrate the following functions w.r.t. x :

\(sec^2\,x\sqrt{tan^2\,x + tan\,x - 7}\)

sec²x√(tan²x + tan x - 7)

Answer 1

sec²x√(tan²x + tan x - 7)

Put tan x = t

∴ sec²x dx = dt