Input
x×2 y×5
Result
10 x y
Geometric figure
hyperbolic paraboloid
Derivative
(d)/(dx)(x×2 y×5) = 10 y
Indefinite integral
integral 10 x y dx = 5 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 10 x y dy dx = 0