0-pi-2-4-sin-x-x-dx-

Question Number 43627 by peter frank last updated on 12/Sep/18

\underset{0}{\int^{π^{2} / 4}} \frac{\sin \sqrt{x}}{\sqrt{x}} d x =

Commented by math khazana by abdo last updated on 13/Sep/18

c h a n g e m e n t \sqrt{x} = t g i v e

I = \int_{0}^{\frac{π}{2}} \frac{s i n t}{t} (2 t) d t = 2 \int_{0}^{\frac{π}{2}} s i n (t) d t

= 2 {[- c o s t]}_{0}^{\frac{π}{2}} = 2 .