How to integrate sin(√x)/√x dx

[Ed Aboud]

Homework Statement

$$\int \frac{sin(\sqrt{x})}{\sqrt{x}} dx$$

Homework Equations

The Attempt at a Solution

I'm not too sure how to approach this. The only thing that rings a bell at this moment is

$$\lim_{x\to\0} \frac{sinx}{x} = 1$$

and I don't feel that it is of any relevance.

Thanks

 

[dx]

Use the substitution u = √x. Whats du?

 

[Ed Aboud]

So $$du = \frac{dx}{2\sqrt{x}}$$

$$2 \int sin(u) du$$

Cool, thanks.