Free Printable Integrales Triples

1.

$\int_1^2\int_3^4\int_{-1}^0\left(x+2y+3z\right)dzdydx$

a)

$-7$

b)

$7$

c)

$-3$

d)

$10$

2.

$\int_1^2\int_1^z\int_{-y}^y\left(2x-z\right)dxdydz$

a)

$\frac{3}{4}$

b)

$-\frac{5}{3}$

c)

$-\frac{9}{4}$

d)

$3$

3.

$\int_0^3\int_0^y\int_{-1}^2\left(2x+2z\right)dxdzdy$

a)

$\frac{3}{4}$

b)

$32$

c)

$-\frac{3}{4}$

d)

$\frac{81}{2}$

4.

$\int_0^x\int_x^{2x}\int_{-1}^1\left(2y-2z\right)dydzdx$

a)

$21$

b)

$-16$

c)

$16$

d)

$-21$

5.

$\int_0^1\int_{-\sqrt{4-x^2}}^{\sqrt{4-x^2}}\ \int_{x^2+y^2}^4\ \ \ \ x\ dzdydx$ . Si a la integral dada le realizamos un cambio de variable a coordenadas cilíndricas obtenemos:

a)

$\int_0^{2\pi}\int_0^2\int_{r^2}^4\ \ r^2sen\theta\ dzdrd\theta$

b)

$\int_0^{2\pi}\int_0^2\int_{r^2}^4\ \ r^2\cos\theta\ dzdrd\theta$

c)

$\int_0^2\int_0^{2\pi}\int_{r^2}^4\ \ r^2\cos\theta\ dzdrd\theta$

d)

$\int_0^{2\pi}\int_0^2\int_{r^2}^4\ \ r^2\cos\theta\ dzd\theta dr$

Integrales Triples

Total questions: 5

Worksheet time: 1hrs 15mins

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