# Math Help - Trig substitution (just checking)

1. ## Trig substitution (just checking)

I'm pretty sure i can do this i just want to make sure....thanx

using trig substitution solve the following:

The integral of sqrt(1-x) / sqrt(x)

2. Originally Posted by abcocoa
I'm pretty sure i can do this i just want to make sure....thanx

using trig substitution solve the following:

The integral of sqrt(1-x) / sqrt(x)
Trig substitution? Then maybe you mean sqrt(1 -x^2) for the numerator?

3. ## Re:

The answer to this problem is

$g(x)=\sqrt{x}*\sqrt{1-x}+sin^-1(\sqrt{x})$

4. ## ?

to qbk21 what does that mean and how did you get it? My problem is i'm not sure i'm doing the integral correctly and your answer doesn't make sense.

Also it is sqrt(1-x)

5. ## Re:

Step #1: http://i137.photobucket.com/albums/q...1/SCREEN01.jpg

Step #2: http://i137.photobucket.com/albums/q...1/SCREEN02.jpg

Step #3: http://i137.photobucket.com/albums/q...1/SCREEN03.jpg

Here, I have made it easy for you to integrate this problem.

Best of Luck!

6. Originally Posted by abcocoa
I'm pretty sure i can do this i just want to make sure....thanx

using trig substitution solve the following:

The integral of sqrt(1-x) / sqrt(x)
Here is what to do.

Let t=sqrt(x) then, the integral becomes,

2*INT sqrt(1-t^2)dt

To do this with trigonometric substitution, use,
u=asin(t)

7. ## Re:

Is my way of doing it correct PerfectHacker?

8. Originally Posted by abcocoa
I'm pretty sure i can do this i just want to make sure....thanx

using trig substitution solve the following:

The integral of sqrt(1-x) / sqrt(x)