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Lucenaposition
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Desmos, 4549 bytes

f(a,b,c,d)=∑_{x=a}^b∑_{y=c}^d((x+y)^2+3x+y)/2 

Order: inclusiveLeftX, inclusiveRightX, inclusiveTopY, inclusiveBottomY

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Desmos, 45 bytes

f(a,b,c,d)=∑_{x=a}^b∑_{y=c}^d((x+y)^2+3x+y)/2 

Order: inclusiveLeftX, inclusiveRightX, inclusiveTopY, inclusiveBottomY

Try it online

Desmos, 49 bytes

f(a,b,c,d)=∑_{x=a}^b∑_{y=c}^d((x+y)^2+3x+y)/2 

Order: inclusiveLeftX, inclusiveRightX, inclusiveTopY, inclusiveBottomY

Try it online

added 47 characters in body
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Lucenaposition
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Desmos, 53 bytesDesmos, 45 bytes

f(a,b,c,d)=\sum_=∑_{x=a}^b\sum_^b∑_{y=c}^d(x+(x+y)(x+y+1^2+3x+y)/2) 

Order: inclusiveLeftX, inclusiveRightX, inclusiveTopY, inclusiveBottomY

Try it online

Desmos, 53 bytes

f(a,b,c,d)=\sum_{x=a}^b\sum_{y=c}^d(x+(x+y)(x+y+1)/2) 

Order: inclusiveLeftX, inclusiveRightX, inclusiveTopY, inclusiveBottomY

Desmos, 45 bytes

f(a,b,c,d)=∑_{x=a}^b∑_{y=c}^d((x+y)^2+3x+y)/2 

Order: inclusiveLeftX, inclusiveRightX, inclusiveTopY, inclusiveBottomY

Try it online

somehow I forgot about \sum in Desmos
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Lucenaposition
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Desmos, 72 bytesDesmos, 53 bytes

f(a,b,c,d)=(c-d-1)(a-b-1)(=\sum_{x=a}^b\sum_{y=c}^d(a+b)x+(c+dx+y)/4+(cc+cd+c+ab+bb+5b+2d+dd+aa+4ax+y+1)/62) 

Order: inclusiveLeftX, inclusiveRightX, inclusiveTopY, inclusiveBottomY

Desmos, 72 bytes

f(a,b,c,d)=(c-d-1)(a-b-1)((a+b)(c+d)/4+(cc+cd+c+ab+bb+5b+2d+dd+aa+4a)/6) 

Order: inclusiveLeftX, inclusiveRightX, inclusiveTopY, inclusiveBottomY

Desmos, 53 bytes

f(a,b,c,d)=\sum_{x=a}^b\sum_{y=c}^d(x+(x+y)(x+y+1)/2) 

Order: inclusiveLeftX, inclusiveRightX, inclusiveTopY, inclusiveBottomY

Source Link
Lucenaposition
  • 2.5k
  • 1
  • 5
  • 28
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