# Integration Question

• Apr 30th 2013, 02:19 PM
crv93
Integration Question
How do I integrate R'(x)= 11-x/√(14-x)?

Thank you.
• Apr 30th 2013, 11:06 PM
JJacquelin
Re: Integration Question
Let t=sqrt(14-x)
• Apr 30th 2013, 11:55 PM
Prove It
Re: Integration Question
Quote:

Originally Posted by crv93
How do I integrate R'(x)= 11-x/√(14-x)?

Thank you.

Some brackets to avoid ambiguity would be nice. Is it \displaystyle \begin{align*} 11 - \frac{x}{\sqrt{14-x}} \end{align*} or \displaystyle \begin{align*} \frac{11 - x}{\sqrt{14-x}} \end{align*}?
• May 1st 2013, 01:38 AM
ibdutt
Re: Integration Question
I would prefer to make substitution for 14-x = t Thus dx = - dt and x = 14-t
The integral becomes
= Integral ( 3-t)/sqrt t dt which can be easily integrated
• May 1st 2013, 02:12 AM
JJacquelin
Re: Integration Question
Quote:

Originally Posted by ibdutt
I would prefer to make substitution for 14-x = t Thus dx = - dt and x = 14-t
The integral becomes
= Integral ( 3-t)/sqrt t dt which can be easily integrated

As you like!