Math Problem Statement

Integral from 0 to 2 Integral from y squared to 4 y minus y squared 100 left parenthesis y plus 4 right parenthesis dx dy Part 2 Evaluate the integral in the previous step.

Solution

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Math Problem Analysis

Mathematical Concepts

Double Integrals
Polynomial Integration

Formulas

∫∫ f(x, y) dx dy
Expansion of polynomials: (y - y^2)(y + 4)
Common denominator method: a/b - c/d = (ad - bc) / bd

Theorems

Fundamental Theorem of Calculus for multiple integrals

Suitable Grade Level

College Level (Calculus II or III)