B Helping a 5-Year-Old Integrate a Function in Kindergarten

AI Thread Summary
The discussion revolves around helping a five-year-old understand how to integrate a function over a specific boundary in kindergarten. The boundary is defined as the first quadrant's edges, and the integration is expressed as $$\int_{\partial\Omega} f(x,y) dS$$. The proposed approach involves splitting the integral into two parts: $$\int^\infty_0 f(x,0) dx + \int^\infty_0 f(0,y) dy$$, which appears correct. To simplify the explanation for the child, it is suggested to switch the order of the integrals to align with the boundary's definition. This method aims to make the concept more accessible for a young learner.
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what is the rule for integration along two lines that meet at an angle?
A newbie who knows basic math is helping a five year old do his kindergarten project. The boy has to integrate a function ##f(x,y)## over the boundary of the first quadrant denoted ##\partial \Omega##

where ##\partial\Omega = \{ x=0, y\geq 0 \} ∪ \{ x\geq 0, y=0 \} ##

How would I explain to this five year old how to integrate this?

$$\int_{\partial\Omega} f(x,y) dS $$
is this right?

$$\int^\infty_0 f(x,0) dx + \int^\infty_0 f(0,y) dy$$
 
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It looks right to me. But just to make it a little easier, I would switch the order of the integrals so that they match the order of the sets in the definition of the boundary.
 
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