Integration Summary

Business Calculus · Axiom Academy

SUMMARY Unit 6: Integration Summary Review of integration techniques and business applications Click to mark off topics you've mastered: ✓ Antiderivatives and Indefinite Integrals Find antiderivatives using power rule, exponential, and logarithm rules ✓ U-Substitution Recognize composite functions and apply substitution method ✓ Definite Integrals Evaluate integrals with limits and interpret as net area ✓ Fundamental Theorem of Calculus Connect differentiation and integration; evaluate definite integrals ✓ Area Applications Calculate area under curves and between curves ✓ Consumer and Producer Surplus Set up and evaluate surplus integrals from supply/demand ✓ Present and Future Value Calculate PV and FV of continuous income streams ✓ Net Change Theorem Use integration to find total change from rate of change Integrate MC, MR, or MP to find changes in total cost, revenue, or profit. Measure benefit to consumers (CS) and producers (PS) from market transactions. Calculate present and future values of continuous income streams. Find total change in population, inventory, or any quantity from its rate of change.

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