# Integrate 1/Quadratic?

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• June 12th 2013, 10:09 AM
kinhew93
Integrate 1/Quadratic?
How do you integrate functions such as this?:

1/[(x-1)^2]

I cannot for the life of me see how to do this.

Thanks :)

Also , I know this is not calculus but could someone quickly also say how to solve e^2x + e^-2x = 5/2?
• June 12th 2013, 10:13 AM
Plato
Re: Integrate 1/Quadratic?
Quote:

Originally Posted by kinhew93
How do you integrate functions such as this?:

1/[(x-1)^2]

What is the derivative of $\frac{-1}{x-1}~?$
• June 12th 2013, 10:26 AM
kinhew93
Re: Integrate 1/Quadratic?
Quote:

Originally Posted by Plato
What is the derivative of $\frac{-1}{x-1}~?$

(x-1)^-2, thanks!
• June 12th 2013, 11:06 AM
topsquark
Re: Integrate 1/Quadratic?
Quote:

Originally Posted by kinhew93
Also , I know this is not calculus but could someone quickly also say how to solve e^2x + e^-2x = 5/2?

Yes, it should be in its own thread. Please don't do this again.

Try the substitution $y = e^{2x}$, then multiply both sides by y.

-Dan
• June 12th 2013, 11:35 AM
kinhew93
Re: Integrate 1/Quadratic?
Quote:

Originally Posted by topsquark
Yes, it should be in its own thread. Please don't do this again.

Try the substitution $y = e^{2x}$, then multiply both sides by y.

-Dan

Ok thanks