Question

Integrate the function: $\frac{\cos \sqrt x}{\sqrt x}$

Answer 1

Let $\sqrt x$ = t

∴ $\frac{1}{2\sqrt x}$dx = dt

$\Rightarrow \int \frac{\cos \sqrt x}{\sqrt x}dx=2\int\cos t \,dt$

=$2\sin t +C$

=$2\sin \sqrt x+C$