Math Problem Statement

Rewrite the following integral using the indicated order of integration and then evaluate the resulting integral.

Integral from 0 to 5 Integral from negative 1 to 0 Integral from 0 to 6 x plus 6 dy dx dz∫05∫−10∫06x+6 dy dx dz

in the order dz dx dy

Solution

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Math Problem Analysis

Mathematical Concepts

Multivariable Calculus
Triple Integrals
Changing Order of Integration

Formulas

Triple Integral Formula: ∫∫∫ f(x, y, z) dz dx dy
Basic Integration: ∫ a dx = ax + C

Theorems

Fubini's Theorem

Suitable Grade Level

Undergraduate Level