Question

Me ajudem CALCULO DE INTEGRAL

Answer 1

Olá.

$\displaystyle \int_{1}^{-1} \sqrt{1-x} \, \, dx \\ \\ \\ u = 1-x \\ \\ du = dx \\ \\ \\ \int_{1}^{-1} \sqrt{u} \, \, du \\ \\ \\ \frac{2}{3} \sqrt{u^3} \, \, \bigg|_{\, \, \, \, 1}^{-1} \\ \\ \\ \frac{2}{3} \sqrt{(1-x)^3} \, \, \bigg|_{ \, \, \, \, 1}^{-1} \\ \\ \\ \frac{2}{3} \sqrt{(1-(-1))^3} - \frac{2}{3} \sqrt{(1-1)^3} \\ \\ \\ \frac{2 \sqrt{8}}{3} \\ \\ \\ \frac{2 \cdot 2\sqrt{2}}{3} \\ \\ \\ \frac{4 \sqrt{2}}{3} \approx 1.89 \, \, u.a$