Input
y sin(1) (2 x)
Exact result
2 x y sin(1)
Geometric figure
hyperbolic paraboloid
Alternate form
i e^(-i) x y – i e^i x y
Derivative
(d)/(dx)(y sin(1) (2 x)) = 2 y sin(1)
Indefinite integral
integral 2 x y sin(1) dx = x^2 y sin(1) + 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 sin(1) dy dx = 0