Improper Integrals: Convergence, p-Integrals and Examples
Learn how to evaluate improper integrals with infinite limits or infinite discontinuities, the p-integral rule, the comparison test and worked examples.
· 7 min read
Integration Techniques
Substitution, integration by parts, partial fractions, trig integrals and improper integrals.
Integration by Parts: Formula, LIATE and Worked Examples
Master integration by parts: the formula, how LIATE picks u, the tabular shortcut, the looping e^x sin x trick, and fully worked examples.
· 7 min read
Partial Fractions: How to Decompose and Integrate, Step by Step
Learn partial fraction decomposition for distinct linear, repeated linear and irreducible quadratic factors, the cover-up shortcut, and worked integrals.
· 7 min read
Trig Substitution: The Three Cases, Triangles and Examples
Learn trigonometric substitution: which of the three substitutions to use, how to build the reference triangle, and how to convert the answer back to x.
· 7 min read
U-Substitution: How to Choose u, With Worked Examples
Learn u-substitution step by step: how to choose u, how to change the bounds of a definite integral, worked examples, and when the method fails.
· 7 min read
Learn by doing
Practice Integration Techniques with instant feedback
Every lesson gives you real problems to solve, spots your exact mistake and walks you through the solution.
Start learning free