Question

Calcule a integral impropria de dx/raiz de x integrando de 0 ate 3.

Answer 1

$\int\limits^3_0 { \frac{1}{ \sqrt{x}} } \, dx = \int\limits^3_0 {x^{ \frac{-1}{2} } \, dx =\left \frac{x^{ \frac{-1}{2}+1 }}{- \frac{1}{2} +1} \right |^3_0= \left 2 \sqrt{x} \right |^3_0=(2 \sqrt{3})-(2 \sqrt{0})=2 \sqrt{3}$