Math Problem Statement
Calculate the integral by interchanging the order of integration.
4
1
2
5
x
y2
dy dx
Solution
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Math Problem Analysis
Mathematical Concepts
Double Integrals
Order of Integration
Interchanging the Order of Integration
Formulas
Integral of x: \int_1^4 x \, dx = \left[ \frac{x^2}{2} \right]_1^4
Integral of y^2: \int_2^5 y^2 \, dy = \left[ \frac{y^3}{3} \right]_2^5
Theorems
Fubini's Theorem (for interchanging the order of integration)
Suitable Grade Level
College Level (Calculus 2)
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