AP Calculus BC Unit 8 Flashcards

Front

What is the formula for the average value of a function f(x) on [a, b]?

Back

Front

How do you find displacement and total distance from velocity?

Back

Front

What is an accumulation function?

Back

Front

How do you find the area between curves with respect to x?

Back

Front

How do you find the area between curves with respect to y?

Back

Front

What do you do when curves intersect more than twice?

Back

Break the integral into sections at intersection points and set up separate integrals for each interval.

Front

How do you find volume using cross sections of squares or rectangles?

Back

Front

How do you find volume using cross sections of triangles or semicircles?

Back

Front

What is the disc method formula around the x- or y-axis?

Back

Front

What is the disc method formula around other axes?

Back

Adjust R(x) to be the distance from the curve to the axis of rotation before applying the disc formula.