integration problem

[lumdc97]

i am having trouble integrating the following equation: x(arcsec(x))dx

i know it has be a substitution, but when i substitute u for arcsec(x), i don't get anything to cancel out the x. any help would be greatly appriciated.

 

[MarkFL]

I would try integration by parts, where:

\(\displaystyle u=\sec^{-1}(x)\,\therefore\,du=\dfrac{1}{x\sqrt{x^2-1}}\,dx\)

\(\displaystyle dv=x\,dx\,\therefore\,v=\dfrac{x^2}{2}\)

 

[Deleted member 4993]

i am having trouble integrating the following equation: x(arcsec(x))dx

i know it has be a substitution, but when i substitute u for arcsec(x), i don't get anything to cancel out the x. any help would be greatly appriciated.

arcsec(x) = Θ

sec(Θ) = x

sec(Θ)*tan(Θ) dΘ = dx

Now continue....