Math Help - Trig Substitution

1. Trig Substitution

The problem us integrate : $\frac{1}{x \sqrt{x^2+25}}dx$

I worked it out to here
$

\frac{5secT}{5tanT} dT$

1. Is this right so far and 2. Im a little confused on how to proceed from there.

2. Well, ASSUMING what you did up to there was right then use...

$\sec(x) = \frac{1}{\cos(x)}$

and

$\tan(x) = \frac{\sin(x)}{\cos(x)}$

3. Good start. Extra factor of 5 in the numerator.

4. Thats kind of what i thought so it should be $\frac{secT}{5tanT}dT$

5. Originally Posted by x5pyd3rx
Thats kind of what i thought so it should be $\frac{secT}{5tanT}dT$
No the 5's cancel. 5/5 = 1...