3940 Express each integral as an equivalent integral inwhich the z-integration is

Chapter 14, Problem 39

(choose chapter or problem)

Focus on Concepts

Express each integral as an equivalent integral in which the 𝑧-integration is performed first, the  𝑦-integration second, and the 𝑥-integration last.

a.)  \(\int_{0}^{5} \int_{0}^{2} \int_{0}^{\sqrt{4-y^{2}}} f(x, y, z) d x\ d y\ d z\)

b.) \(\int_{0}^{9} \int_{0}^{3-\sqrt{x}} \int_{0}^{z} f(x, y, z) d y\ d z\ d x\)

c.) \(\int_{0}^{4} \int_{y}^{8-y} \int_{0}^{\sqrt{4-y}} f(x, y, z) d x\ d z\ d y\)

Equation Transcription:

Text Transcription:

integral_0^5 integral_0^2 integral_0^square root 4-y^2 f(x,y,z) dx dy dz

integral_0^5 integral_0^3-square root x integral_0^z f(x,y,z) dy dz dx

integral_0^4 integral_y^8-y integral_0^4-y f(x,y,z) dx dz dy

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