- #1
Abraham
- 69
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Homework Statement
Solve:
[tex]\int\sqrt{x^2-1}[/tex]dx
Homework Equations
This is where I need help. What integration technique do I use? u-substitution? Integration by parts? None seem to work. As an added note, I've been trying to teach myself some calculus II work over the summer, so I just need a pointer in the right direction. Thank you
The Attempt at a Solution
I attempted to use u-substitution. I don't think this is the right method. Does anyone know the correct method? It got pretty messy, but I didn't get the right answer:
[tex]\int[/tex][tex]\sqrt{x^{2}+1}[/tex]dx
u = [tex]x^{2}[/tex]+1
du = 2x
x = [tex]\sqrt{u-1}[/tex]
= [tex]\frac{1}{2}[/tex] [tex]\int[/tex]([tex]\sqrt{u}[/tex])([tex]\sqrt{u-1}[/tex]) du
= ? Is this the correct start?