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Resolver usando descomposición en fracciones parciales.
a) ∫(3x²+2x+1) /(7-X) dx
b) ∫3X-2 / x²+2x-48 dx
c) ∫ 3 x²+5x+1 / (x+3)² (2x-1) dx
Calcular el área:
a) De la región comprendido entre
y= 2-x²
y=-x
b) X=1+ y²
X=10
Determinar el volumen del Sólido generado al rotar
a) El área plana comprendida entre
y = 3x + 1 , X=0, y = 0 x=4
alrededor del eje X
b) el área plana comprendida entre
y = x ^ 2 + 2 , y = 1 , X = 1
(I cuadrante alrededor del eje Y.
Calcular la longitud de arco de
a) y=3x+5: entre x = 1 x = 7
b) y = 2x ^ (3/2) + 5
entre x=0, X = 7
Sagot :
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