Input
x (5 y)×8
Result
40 x y
Geometric figure
hyperbolic paraboloid
Derivative
(d)/(dx)(x (5 y)×8) = 40 y
Indefinite integral
integral 40 x y dx = 20 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 40 x y dy dx = 0