This equation is part of the fundamental theorem of calculus, and shows that the integral of a derivative is the original function.
\( x \) | This is a symbol for any generic variable. It can hold any value, whether that be an integer or a real number, or a complex number, or a matrix etc. |
\( \int \) | This is the symbol for an integral, sometimes referred to as an antiderivative. Graphically, it can be understood as the area between a curve and the axis the integral is taken with respect to. |
\( f'(x) \) | This is a general symbol for the derivative of a general function, \(\htmlClass{sdt-0000000096}{f}(\htmlClass{sdt-0000000003}{x})\), in Legrange's notation. |
\( C \) | This symbol represents the constant of integration. It must be added to the result of all definite integrals to encompass all possible solutions that satisfy the integral. |
\( f \) | This is the symbol for a function. It is commonly used in algebra, and (multivariate) calculus. |
\( \:d \) | This is the symbol for a differential. It represents an infinitesimally small (infinitely close to zero) change in whatever variable it is with respect to. |
Coming soon...
Coming soon...