1. ## 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?

2. ## Re: Integrate 1/Quadratic?

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

1/[(x-1)^2]
What is the derivative of $\frac{-1}{x-1}~?$

3. ## Re: Integrate 1/Quadratic?

Originally Posted by Plato
What is the derivative of $\frac{-1}{x-1}~?$
(x-1)^-2, thanks!

4. ## Re: Integrate 1/Quadratic?

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

5. ## Re: Integrate 1/Quadratic?

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