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)