Math Problem Statement

  1. Diketahui R = {(x,y): 15x54, 0 <= y <= 2 \ . Hitunglah integral lipat dua R f(x, y)dA, dengan f adalah f(x) 2, 1 <= x <= 4, 0 <= y < 1 f(x,y)=3, 1 <= x < 3, 1 <= y <= 2 1. 3 <= x < 4, 1 <= y <= 2

Solution

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Math Problem Analysis

Mathematical Concepts

Double Integration
Piecewise Functions
Multivariable Calculus

Formulas

Double integral formula: ∬_R f(x, y) dA
Integral of constant functions
Piecewise integration over different regions

Theorems

Fundamental Theorem of Calculus (Multivariable)
Properties of Definite Integrals

Suitable Grade Level

Undergraduate Calculus