What is the Integral of (sqrt(x) + 1/sqrt(x))^2?

[rocomath]

[SOLVED] Can I do this? (integral)

$$\int(\sqrt{x}+\frac{1}{\sqrt{x}})^2dx$$ sum of a product ... simplify

$$\int(x+2+\frac{1}{x})dx$$ integrating ...

$$\frac{1}{2}x^2+2x+\ln{x}$$

 

[learningphysics]

Looks correct to me.

 

[Kurdt]

Looks ok to me.

 

[rocomath]

damn i love math :-] idk why i didn't think about doing it earlier.

 

[bob1182006]

Just some technicalities, $\int \frac{dx}{x} = ln |x|$. and $\sqrt{x}^2=|x|$ don't think it affects anything really but if x was to be an odd power in the final answer I think it would need to be given as a parametric equation.

 

[HallsofIvy]

And you certainly should have "+ C"!