Input 
8 x + 3 y + 67 
Geometric figure 
plane 
Real root 
y = (8 x)/3 – 67/3 
Root 
y = (8 x)/3 – 67/3 
Integer root 
x = 3 n + 1, y = 8 n – 25, n element Z 
Root for the variable y 
y = 1/3 (8 x – 67) 
Derivative 
(d)/(dx)(8 x + 3 y + 67) = 8 
Indefinite integral 
integral (67 + 8 x + 3 y) dx = 4 x^2 + 3 x y + 67 x + 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 (67 + 8 x + 3 y) dy dx = 268 L^2 