Integrate 0 1 √1-x² √1-x²-y² 0 0 sin (√√z² + y² + x²) 3 (z² + y² + x²) dz dy dx. Give the answer in its exact form. This will include either a sine or a cosine function. The value of the integral is If 0 ≤ z ≤ √√√1 - x² - y² then in a spherical coordinate system (x, y, z) → (p cos 0 sin , p sin 0 sin , p cos ) we have that 0 ≤ ≤ π/2.
Integrate 0 1 √1-x² √1-x²-y² 0 0 sin (√√z² + y² + x²) 3 (z² + y² + x²) dz dy dx. Give the answer in its exact form. This will include either a sine or a cosine function. The value of the integral is If 0 ≤ z ≤ √√√1 - x² - y² then in a spherical coordinate system (x, y, z) → (p cos 0 sin , p sin 0 sin , p cos ) we have that 0 ≤ ≤ π/2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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![Integrate
1 v
2_2
I T
0 0
sin (√ z² + y² + x²)
3 (z² + y² + x²)
2
dz dy dx.
Give the answer in its exact form. This will include either a sine or a cosine function.
The value of the integral is
If 0 ≤ z ≤ √ 1 − x² y² then in a spherical coordinate system (x, y, z) → (p cos 0 sin , p sin sin , pcos ) we have that 0 ≤ ¢ ≤ π/2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e81da3a-685f-4a1c-b0d8-bdbcceea4042%2Ff0638c5e-0e79-409e-8417-282bf878e298%2F2tsga3_processed.png&w=3840&q=75)
Transcribed Image Text:Integrate
1 v
2_2
I T
0 0
sin (√ z² + y² + x²)
3 (z² + y² + x²)
2
dz dy dx.
Give the answer in its exact form. This will include either a sine or a cosine function.
The value of the integral is
If 0 ≤ z ≤ √ 1 − x² y² then in a spherical coordinate system (x, y, z) → (p cos 0 sin , p sin sin , pcos ) we have that 0 ≤ ¢ ≤ π/2.
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