Question

integral 1/((3)+(sqrt(x+2))
please show steps

Answer 1

can you please write it in a better form? with the equation editor or upload a picture?

Answer 2

\[\int\limits_{}^{} (\frac{ 1 }{ 3+\sqrt{x+2} }) dx\]
is it like this?

Answer 3

yes

Answer 4

do you just want to integrate it? or what? i mean what does the question says?

Answer 5

just integrate

Answer 6

Do you have a final answer for that i just wanna make sure?

Answer 7

answer is 2( sqrt(x+2) - 3log(sqrt(x+2)))

Answer 8

u substitution hmm

Answer 9

yeah I think you can use u substitution here.

Answer 10

What if you multiply by the conjugate :O

Answer 11

Nvm you can use 2 u subs

Answer 12

***answer is 2( sqrt(x+2) - 3log(sqrt(x+2)))****

I get
\[ 2 \left( \sqrt{x+2} - 3\ln(\sqrt{x+2}+3) \right)\]
or
\[ 2\sqrt{x+2} - 6\ln(\sqrt{x+2}+3) \]
using the substitution
\[ u = \sqrt{x+2} \\ du = \frac{1}{2} \frac{1}{\sqrt{x+2}} dx = \frac{dx}{2u} \\ dx = 2 u \ du
\]