Think About It Which of the integrals below is equal to Explain

Chapter 14, Problem 69

(choose chapter or problem)

Which of the integrals below is equal to \(\int_{1}^{3} \int_{0}^{2} \int_{-1}^{1} f(x, y, z) d z d y d x\) ? Explain.

(a) \(\int_{1}^{3} \int_{0}^{2} \int_{-1}^{1} f(x, y, z) d z d x d y\)

(b) \(\int_{-1}^{1} \int_{0}^{2} \int_{1}^{3} f(x, y, z) d x d y d z\)

(c) \(\int_{0}^{2} \int_{1}^{3} \int_{-1}^{1} f(x, y, z) d y d x d z\)

Text Transcription:

int_{1}^{3} int_{0}^{2} int_{-1}^{1} f(x, y, z) dz dy dx

int_{1}^{3} int_{0}^{2} int_{-1}^{1} f(x, y, z) dz dx dy

int_{-1}^{1} int_{0}^{2} int_{1}^{3} f(x, y, z) dx dy dz

int_{0}^{2} int_{1}^{3} int_{-1}^{1} f(x, y, z) dy dx dz

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