Calculus II
Professor Leonard
Master integral calculus with Professor Leonard's comprehensive Calculus II course. Learn techniques, applications & problem-solving skills!
More resources on Integration
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
Real Analysis (MIT 18.100A)
Rigorous foundations of calculus: real numbers, convergence of sequences and series, continuity, differentiability, the Riemann integral, sequences and series of functions, uniform convergence and interchange of limits. Includes 25 lecture videos, notes, problem sets and exams, and teaches how to read and construct proofs.
Khan Academy Integration
Khan Academy's AP Calculus BC unit on integration and accumulation of change, mixing short videos with graded practice. Covers Riemann sums, the fundamental theorem, u-substitution, integration by parts, partial fractions, and improper integrals, with immediate feedback on each attempt.
Integral Table
B.E. Shapiro's Creative Commons reference table of integrals, offered as a full PDF, a one-page condensed sheet, and LaTeX source. Use it to look up standard antiderivative forms while working problems rather than to learn technique.
Paul's Online Math Notes - Calculus II
Paul Dawkins' Lamar University course notes covering the second-semester calculus sequence: substitution, integration by parts, trig substitution, partial fractions, improper integrals, applications, sequences and series. Each section pairs worked examples with practice problems and full solutions.
Essence of Calculus
Master integration with Grant Sanderson! This calculus course unlocks the essence of integration through intuitive visuals.