Input
x×1 (2 y)
Result
2 x y
Geometric figure
hyperbolic paraboloid
Derivative
(d)/(dx)(x (2 y)) = 2 y
Indefinite integral
integral 2 x y dx = x^2 y + constant
Definite integral over a disk of radius R
integral integral_(x^2 + y^2
Definite integral over a square of edge length 2 L
integral_(-L)^L integral_(-L)^L 2 x y dy dx = 0