Math Problem Statement

calculate the double integral xcos(x+y)da where R is the region 0<=x<=pi/3,0<=y<=pi/4

Solution

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Math Problem Analysis

Mathematical Concepts

Double Integration
Trigonometric Integration
Definite Integrals

Formulas

∫∫_R f(x, y) dA for double integrals
∫ cos(x + y) dy = sin(x + y)
Integration by parts: ∫ u dv = uv - ∫ v du

Theorems

Fundamental Theorem of Calculus for Definite Integrals

Suitable Grade Level

Undergraduate Calculus