Question

2)
Use integration by parts to integrate ſx sec x tan x dx​

Answer 1

Answer:

Considering x as the first function and sec x tan x as the second function, we get

Integral of x sec x tan x dx

= x (Integral of sec x tan x ) - Integral of (d/dx (x)) Integral of (sec x tan x dx)

= x (sec x) - Integral of sec x dx

= x sec x - ln| sec x + tan x| + c

or,

= x sec x - ln | tan (π/4+x/2) | + c

Hope this helps you !