In this program

Integration techniques

Calculus II · Standard syllabus

Use LIATE to choose u and dv; apply ∫u dv = uv − ∫v du for products of algebraic, exponential, log, and trig factors.

Objectives

Use LIATE to choose u and dv; apply ∫u dv = uv − ∫v du for products of algebraic, exponential, log, and trig factors.
Organize repeated differentiation and integration in a DI table; apply sign pattern for products that need multiple IBP steps.
Integrate powers of sine and cosine, and products of sin/cos using identities and reduction.
Trigonometric substitution
Partial fraction decomposition
Integration of rational functions
General substitution strategies
Improper integrals

Quizzes, typed answers, and flashcards for this unit — coming soon.