## anonymous 3 years ago How do I find the indefinite integral of: ∫(√x) + (1/(4√x))

1. anonymous

I got 2/3(x^3/2)+2(x^1/2)+C however it is stated to be wrong

2. KingGeorge

Can you show me how you got to that result?

3. KingGeorge

P.S. It's almost correct.

4. anonymous

Sure x^1/2 + 1/4 x^-1/2 (x^3/2)/(3/2)+(1/4)(x^1/2)/(1/2)

5. anonymous

Am I missing a step?

6. KingGeorge

That looks good to me. Now what is $\Large \frac{1/4}{1/2}?$

7. anonymous

2

8. KingGeorge

Almost. $\Large \frac{1/4}{1/2}=\frac{2}{4}=\frac{1}{2}$In general, $\Large \frac{a/b}{c/d}=\frac{ad}{bc}$

9. anonymous

ah careless mistake

10. anonymous

so then instead of the 2√x its 1/2√x?

11. KingGeorge

That looks right to me.

12. anonymous

ok 2/3(x^3/2)+1/2(x^1/2) is the correct answer?

13. KingGeorge

With a +C at the end.

14. anonymous

Always forget the C, thanks a lot you were a really big help. You truly are the king.

15. KingGeorge

You're welcome, and thanks :P