Question

Qual o valor da integral indefinida : Raiz de (3-2x)^2*dx

Answer 1

$Integral:\\\\F_{(x)}=\int\sqrt[2]{(3-2x)^2} dx\\\\\\ Resolvendo:\\\\ F_{(x)}=\int\sqrt[\not2]{(3-2x)^{\not2}}dx\\\\ F_{(x)}=\int(3-2x)dx\\\\ F_{(x)}=3\frac{x^{0+1}}{0+1}-2\frac{x^{1+1}}{1+1}+constante\\\\ F_{(x)}=3x-2\frac{x^2}{2}+constante\\\\ F_{(x)}=3x-\not2\frac{x^2}{\not2}+constante\\\\ \boxed{F_{(x)}=3x-x^2+constante}$

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Bons estudos!