Question

Find the indefinite integral of inverse secant.

Answer 1

I believe there is a formula for this integral? but you can use integration by parts to solve.

Answer 2

HINT:
u = arcsec(x) and dv = 1

Answer 3

u mean find
\[ \int\text{arcsec }x\,dx \]

Answer 4

i agree with abb0t. use integration by parts.

Answer 5

Also, in case you didn't know:
\[\sec^{-1}(x) = arcsec(x)\]

Answer 6

u mean
\[ \large u=\text{arcsec }x\qquad dv=dx \]

Answer 7

I don't like to include the dx in my work cuz it sometimes confuses me when I'm doing things quickly..

Answer 8

ok, I've done integration by parts but I got stuck again here.
what will happen to the 1/2x at the front?