# Integration Question

## Homework Statement

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

## 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

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dx
Homework Helper
Gold Member
Use the substitution u = √x. Whats du?

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

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

Cool, thanks.