| 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 |
