Question

How do I find the indefinite integral of:
∫(√x) + (1/(4√x))

Answer 1

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

Answer 2

Can you show me how you got to that result?

Answer 3

P.S. It's almost correct.

Answer 4

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

Answer 5

Am I missing a step?

Answer 6

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

Answer 7

2

Answer 8

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

Answer 9

ah careless mistake

Answer 10

so then instead of the 2√x its 1/2√x?

Answer 11

That looks right to me.

Answer 12

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

Answer 13

With a +C at the end.

Answer 14

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

Answer 15

You're welcome, and thanks :P