Question

Find the indefinite intergral:
sqrtx+1/(2sqrtx)

Answer 1

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

Answer 2

No... interal of sqaure root of x + (1/(2sqrtx))
\[\int\limits\]

Answer 3

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

Answer 4

yes

Answer 5

Ok, well that's a lot easier then. You can break it up and rewrite it as:
\[\int\limits x^{1/2}dx+\frac{1}{2}\int\limits x^{-1/2}dx\]

Answer 6

Then use power rule.

Answer 7

Ok thanks so much, could you figure out the final answer to check it with mine

Answer 8

i got:
\[1/3 \sqrt{x} (2x+3)+C\]

Answer 9

Sure, just a sec.

Answer 10

No. How did you get that?

Answer 11

\[\int\limits x^{1/2}dx = \frac{2}{3}x^{3/2}+C.\]