Integral Test

AP Calculus · Axiom Academy

Using improper integrals to test series convergence If f is continuous, positive, and decreasing for , and a_n = f(n) , then converges iff converges. The integral test gives the p-series result: converges iff p > 1 The integral and sum converge/diverge together, but may have different values Requires: continuous, positive, decreasing

This is the written version of the interactive lesson above. See the full AP Calculus course.