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Education Mathematics Calculus Equation Solving Geometry Graphics and Visualization Wolfram Language Numerical Computation

Analytical Evaluation of Line and Surface Integrals in Multidimensional Spaces

Athanasios Paraskevopoulos

Athanasios Paraskevopoulos, Academy of Athens

Posted 2 years ago

POSTED BY: Athanasios Paraskevopoulos

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Mariusz Iwaniuk

Mariusz Iwaniuk, engineer, math hobbyist.

Posted 2 years ago

POSTED BY: Mariusz Iwaniuk

Athanasios Paraskevopoulos

Athanasios Paraskevopoulos, Academy of Athens

Posted 2 years ago

Yes it should be zero

POSTED BY: Athanasios Paraskevopoulos

Mariusz Iwaniuk

Mariusz Iwaniuk, engineer, math hobbyist.

Posted 2 years ago

LineIntegrate[{x^2, -y}, {x, y} \[Element] Line[{{-1, -1}, {-1, 1}, {1, 1}, {1, -1}, {-1, -1}}]] LineIntegrate[{y^2, -x}, {x, y} \[Element] Line[{{-1, -1}, {-1, 1}, {1, 1}, {1, -1}, {-1, -1}}]] (* 0 ) ( 4 ) I tried with Maple 2024* gave me the same answers.

LineIntegrate[{x^2, -y}, {x, y} \[Element] Line[{{-1, -1}, {-1, 1}, {1, 1}, {1, -1}, {-1, -1}}]]
LineIntegrate[{y^2, -x}, {x, y} \[Element]  Line[{{-1, -1}, {-1, 1}, {1, 1}, {1, -1}, {-1, -1}}]]

(* 0 *)
(* 4 *)

I tried with Maple 2024 gave me the same answers.

POSTED BY: Mariusz Iwaniuk