Integrals III is Here!
Integrals III is here! The section starts off with an overview of the Fundamental Theorem of Calculus. The theorem is simply given for now, although a proof may come at some point. Subsequent sections provide some practice problems for integrating simple functions such as polynomials, exponential functions, logarithms, and trigonometric functions. Indefinite integrals are given as formulas, once again with proofs elided. In no case is the proof left as an exercise to the reader without a solution, since that would be evil. Future sections will cover more advanced integration techniques, such as substitution, as well as applications, such as calculating arc length.