• Jun 12th 2013, 10:09 AM
kinhew93
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?
• Jun 12th 2013, 10:13 AM
Plato
Quote:

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

1/[(x-1)^2]

What is the derivative of $\displaystyle \frac{-1}{x-1}~?$
• Jun 12th 2013, 10:26 AM
kinhew93
Quote:

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

(x-1)^-2, thanks!
• Jun 12th 2013, 11:06 AM
topsquark
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 $\displaystyle y = e^{2x}$, then multiply both sides by y.

-Dan
• Jun 12th 2013, 11:35 AM
kinhew93
Try the substitution $\displaystyle y = e^{2x}$, then multiply both sides by y.