How can I simplify this integral equation with a complex numerator?

[AntonioDuarte2001]

Homework Statement

Help 4 integral equation

Relevant Equations

in the description

Hello. I need help in simplifying this integral equation, i know the final result must be 2(1-x)^1/2 + C. I been stuck on this one for a while.

 

[anuttarasammyak]

Hi. It is easily reduced to
$$- \int \frac{dx}{\sqrt{1-x}}$$

 

[AntonioDuarte2001]

Hi. It is easily reduced to
$$- \int \frac{dx}{\sqrt{1-x}}$$

I don't understand why.. can you show me the steps of the simplifying?

 

[anuttarasammyak]

$$(\sqrt{1-x})^2= ?$$

 

[AntonioDuarte2001]

$$(\sqrt{1-x})^2= ?$$

1-x

 

[anuttarasammyak]

OK, then input it in denominator of your integrand.

 

[AntonioDuarte2001]

OK, then input it in denominator of your integrand.

And now?

 

[Office_Shredder]

Cancel some stuff in the numerator and denominator. Do you see what you can cancel?

 

[AntonioDuarte2001]

Cancel some stuff in the numerator and denominator. Do you see what you can cancel?

Thats my doubt! I can't divide anything in the square roots..

 

[Office_Shredder]

The numerator is more than just the stuff in your parentheses. Look at your whole expression.