AP Calculus | Applications of Integration

What equation gives the average rate of change?

The Mean Value Theorem (MVT) states what?

What is the equation to find the average value of a function?

The integral of velocity gives what?

Displacement

The integral of the absolute value of velocity gives what?

Total distance

When integrating a rate of change, what does it give?

Net change

What integral area expression would be used to find the area between curves when said curves are both above or both below the x-axis?

What integral area expression would be used to find the area between curves when one curve is above the x-axis, and the other is under the x-axis?

When in terms of x, what is the order of subtracting two functions (or curves)?

Top function - bottom function

When in terms of y, what is the order of subtracting two functions (or curves)?

Right function - left function

What is the equation to find the volume of a cross section with squares?

What is the equation to find the volume of a cross section with semi-circles?

What is the equation to find the volume of a cross section with isosceles right triangle (where one leg is the base)?

What is the equation to find the volume of a cross section with equilateral triangles?

What is the equation to find the volume of a graph that is rotated around y = 0?

What is the equation to find the volume of a graph that is rotated around y = b? (where b is any number but zero)