integration 101

[freudian_slip]

ok, so i have a fairly simple integration by parts problem here but i am missing something.

it is integrate sec^2xtanxdx

i set it to be secx(secxtanx) and then i made u=secx du=secxtanxdx dv=secx(secxtanx)dx

so, then i got

integrate(secx(secxtanx)dx) = secxsecx - integrate(secx(secxtanx)dx)

and i am back where i started. what i am missing?

Comments

[neonbug]

I don't know if you are being asked to use integration by parts or not, but the integral just screams substitution.

[hawkington]

It might help to know the derivative of tan(x). Don't know it? Derive it as tan(x)=sin(x)/cos(x) and use the quotient rule for derivatives.

[korean_guy_01]

You don't need integration by parts, your integral is now in the form of ∫ u du

∫ sec2(x)tan(x) dx

u = sec(x)
du = sec(x)tan(x) dx

∫ u du

Take care of it from there