AP Calculus | Applications of Integration
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17 Terms
What equation gives the average rate of change?
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The Mean Value Theorem (MVT) states what?
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What is the equation to find the average value of a function?
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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 expression would be used to find the area between two curves when said curves are both above or both below the x-axis?
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What integral 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?
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When defining y in terms of x (f(x) = y), what is the order of subtracting two functions (or curves)?
Top function - bottom function
When defining x in terms of y (f(y) = x), what is the order of subtracting two functions (or curves)? This order is used when one function doesn’t completely pass over the other.
Right function - left function
What is the equation to find the volume of a cross section with squares?
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What is the equation to find the volume of a cross section with semi-circles?
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What is the equation to find the volume of a cross section with isosceles right triangle (where one leg is the base)?
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What is the equation to find the volume of a cross section with equilateral triangles?
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What is the equation to find the volume of a curve that is rotated around y = 0, or x = 0?
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What is the equation to find the volume of a crosssection of two graphs that is rotated around the x-axis? Use the following graph.
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What is the equation to find the volume of a crosssection that is rotated around y = b? (where b is any number but zero)
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