2023-2025 Catalog

MATH 125 Calculus & Analytic Geometry II

Covers the definite and indefinite integrals, techniques of integration, and their applications to concepts including area, volume, growth, and decay. Prerequisite: C or better in MATH 124 (NS, QS)




  1. Precisely define the definite integral as a limit of Riemann sums estimate definite integrals using a variety of methods.
  2. Describe under what conditions a technique for estimating an integral results in an overestimate or an underestimate.
  3. Find antiderivatives graphically.
  4. Use the Fundamental Theorem of Calculus to evaluate definite integrals and to represent a particular antiderivative.
  5. Compute antiderivatives and definite integrals using substitution, integration by parts, partial fractions or trigonometric substitution.
  6. Determine whether an improper integral converges, and compute improper integrals.
  7. Apply techniques of integration to compute a variety of quantities such as area, volume, density, center of mass, work, fluid pressure or arc length.