Blake Logan
03/11/2023 · Middle School
1. Resuelva los siguientes Ejercicios. (1-8) En cada uno de los siguientes ejercicios, determine el área de la región acotada por la curva \( y=f(x) \), el eje \( x y \) las lí- neas \( x=a y x=b \). 1. \( y=-x^{2} ; \quad x=0, x=3 \) 2. \( y=1-\sqrt{x} ; \quad x=1, x=9 \) 3. \( y=-e^{x} ; \quad x=\ln 2, x=\ln 5 \) 4. \( y=x^{3} ; \quad x=-1, x=1 \) 5. \( y=x^{2}-4 ; \quad x=0, x=3 \) 6. \( y=x^{2}-3 x+2 ; \quad x=0, x=3 \)
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1. Área: 9
2. Área: \( \frac{26}{3} \)
3. Área: 3
4. Área: \( \frac{1}{2} \)
5. Área: \( \frac{23}{3} \)
6. (Calcular el área total de la última integral).
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