- #1

- 106

- 0

integral of dx/(x-sqrt(x+2))

please keep in mind im only in calc 2.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter mathrocks
- Start date

- #1

- 106

- 0

integral of dx/(x-sqrt(x+2))

please keep in mind im only in calc 2.

- #2

Tom Mattson

Staff Emeritus

Science Advisor

Gold Member

- 5,549

- 8

mathrocks said:

integral of dx/(x-sqrt(x+2))

please keep in mind im only in calc 2.

You can do a u-substitution with u=(x+2)

Now, you'll find that you don't have the du/dx in your integral, so you'll have to supply it yourself by multiplying the numerator and denominator of the integrand by 2(x+2)

That will turn your integrand into a rational function of u which will be much easier to integrate.

- #3

- 10

- 0

You will get then this sqrt up...

(x+sqrt(x+2)) / ((x^2)-x-2)

then you have (x+sqrt(x+2)) / (x-2)(x+1)

Then you can simply seperate this integral into two.. int_x / ((x-2)(x+1))dx + int_sqrt(x+2) / ((x-2)(x+1))dx

from there by substitution you can easily sole both of them

Share: