# Determine the Integral

1. Dec 27, 2011

### lubo

1. The problem statement, all variables and given/known data

∫ (2/√x3 + 3√x) dx

2. Relevant equations

Xndx = xn+1/n+1 +C

3. The attempt at a solution

∫(2/(x3)^1/2 + 3x1/2) dx

∫(2/x3/2+ 3x1/2) dx

∫(2x-3/2+ 3x1/2) dx

= 2x-1/2/-1/2 + 3x3/2/(3/2) +C

= -4x-1/2 + 2x3/2 +C

= -4/x1/2 + 2x3/2 +C

Can you please confirm the above answer as I have no answers to compare and am not 100% sure on this one?

Thank you for any help in advance

2. Dec 27, 2011

### Simon Bridge

Try the Wolfram integrator.

What you really really need is some way of being able to check your integrals without having to refer to some authority like this. You start by seeing if you can describe what it is about the answer that makes you unsure of it. Is it something to do with the conversion of surds to fractional powers? The use of negative powers? Or just the rule for integrating a power?

Having identified the problem, you can work out how to test it.

3. Dec 27, 2011

### lubo

Thanks. The program above worked. I have a new calculator and it is showing me the wrong result and with no answer? This program solved it easy.

4. Dec 27, 2011