Fundamental Theorem of Calculus
Calculates the definite integral using the boundary difference of the original function.
symbols, variables and units
a,b: integration boundary; F: original function of f; integration unit is f×x.
applicable conditions and boundaries
f is continuous in a closed interval; the convergence of the generalized integral needs to be checked separately.
formula source code
The following is a copyable LaTeX expression.
\int_a^b f(x)\,dx=F(b)-F(a),\quad F'=f
Reference and Extended Learning
OpenStax · Calculus ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
integraldefinite integral