Unit 5 Learning Outcomes

Upon successful completion of this unit, you will be able to:

• use sigma notation to represent sums;
• approximate areas by Riemann sums;
• translate an area under a curve into a definite integral
• evaluate definite integrals geometrically using graphs of functions;
• determine whether a given function is integrable;
• find antiderivates by changing the variable and using tables;
• use the Fundamental Theorem of Calculus to evaluate definite integrals
• differentiate integrals;
• solve applied problems that involve generalized area, that is, distance, work, and so forth;
• find an area between two curves; and
• find the average (mean) value of a function.