## anonymous 3 years ago Hello could someone please check this problem that I did?

1. anonymous

$take the intergral of \sqrt{\frac{ 2 }{ x }}$

2. anonymous

My answer is $2\sqrt{2x}$

3. mathslover

$\large{\int \sqrt{\frac{2}{x}}}$ Like this?

4. anonymous

yes

5. anonymous

sorry I am new to this website I could not figure out how to draw the integral sign.

6. mathslover

$\large{\int \frac{\sqrt{2}}{\sqrt{x}}}$ $\large{\int \sqrt{2}x^{-\frac{1}{2}}}$ $\large{\sqrt{2}\times \frac{x^{\frac{-1}{2}+1}}{\frac{-1}{2} +1}}}{$

7. mathslover

Can you solve further ?

8. mathslover

i) You were right :) ii) Don't forget to put +C there... i.e integration constant.

9. anonymous

I have solved it already and I got $2\sqrt{2x}$ as the answer

10. mathslover

And for integration use : \int

11. anonymous

oh thank you

12. mathslover

No problem , good work though but that constant is the most important in integration. Also , $\huge{\color{blue}{\mathbb{Welcome}}\space \color{red}{\mathsf{To}} \space \color{orange}{\frak{OpenStudy}}}$

13. mathslover

Best of luck for your journey in helping others and being helped by others, here in OpenStudy.