The Fundamental Theorem of Integral Calculus

Lesson Summary: 
The Fundamental Theorem of Integral Calculus is the main technique we use to determine the value of the definite integral $\int_a^b\,f(x)dx$. The theorem states that \[ \int_a^b\,f(x)dx=F(b)-F(a) \] where $F(x)$ is the antiderivative of $f(x)$.