Day 1 — Essential Foundations and Classification

Evaluate a definite integral from an antiderivative using the Fundamental Theorem of Calculus.

Evaluate standard finite and infinite limits involving powers, logarithms, and exponential functions that arise in improper integrals.

Explain why an integral is improper when its interval is unbounded or its integrand becomes unbounded.

Classify a given improper integral as Type 1, Type 2, or Type 3 and identify every source of improperness.