Home » Courses » Mathematics » Single Variable Calculus » 3. The
Definite Integral and its Applications » Part A: Definition of
the Definite Integral and First Fundamental » Session 48: The
Fundamental Theorem of Calculus Definite integrals "sum up"
infinitesimal changes; one such change is adding the area of an
infinitesimal rectangle. Another is traveling an infinitesimal
distance forward. In this session we use definite integrals to
compute distance traveled over time given a velocity function.
We discuss negative integrands and then list a few properties of
definite integrals. Integral of sin(x) + cos(x)