Evaluate the following integral in spherical coordinates. 3/2 - (x2 + y? +z?) dV; D is a ball of radius 5 e D ...... Set up the triple integral using spherical coordinates that should be used to evaluate the given integral as efficiently as possible. Use increasing limits of integration 0 0 Evaluate the integral. dV = (Type an exact answer, using n as needed.)

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Evaluate the following integral in spherical coordinates.
312
dV; D is a ball of radius 5
.....
Set up the triple integral using spherical coordinates that should be used to evaluate the given integral as efficiently as possible. Use increasing limits of integration.
dp dp de
0 0
Evaluate the integral.
SSS-
(x² +y² + z?)°
3/2
dV =
D
(Type an exact answer, using t as needed.)
Transcribed Image Text:Evaluate the following integral in spherical coordinates. 312 dV; D is a ball of radius 5 ..... Set up the triple integral using spherical coordinates that should be used to evaluate the given integral as efficiently as possible. Use increasing limits of integration. dp dp de 0 0 Evaluate the integral. SSS- (x² +y² + z?)° 3/2 dV = D (Type an exact answer, using t as needed.)
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