docnet
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- TL;DR
- 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?
$$\int^\infty_0 f(x,0) dx + \int^\infty_0 f(0,y) dy$$
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?
$$\int^\infty_0 f(x,0) dx + \int^\infty_0 f(0,y) dy$$