Question

integrate ((square root of x) +2)/5(square root of x)

Answer 1

\[\frac{ \sqrt{x}+2 }{ 5\sqrt{x} }\]
Like this?

Answer 2

yes!

Answer 3

@shiraz14

Answer 4

First thing you want to do is factor out the 1/5

Answer 5

\[\frac{ 1 }{ 5 }\int\limits \frac{ \sqrt{x}+2 }{ \sqrt{x} }dx\]

Answer 6

\[u = \sqrt{x} \]

\[du = \frac{ 1 }{ 2\sqrt{x} }dx\]

\[\frac{ 2 }{ 5 }\int\limits (u+2)du\]

Answer 7

Can you finish it off?

Answer 8

You should get

\[\frac{ 1 }{ 5 }(x+4\sqrt{x})+C\]

Answer 9

@mpriole Did you understand what I did, came back to make sure you understood the problem :)

Answer 10

what happened when you multiplied by ?i see that the 2 went out front but what happened to the square root of x?