The area between two curves refers to the region enclosed by two curves on a coordinate plane. It is calculated by finding the difference between their respective integrals over a given interval.
Imagine you have two overlapping pizza slices with different crusts but identical toppings. The area between these slices would be equivalent to finding out how much extra pizza you get when you subtract one slice's crust area from another.
Riemann Sums: These are approximations of areas under curves using rectangles. By dividing an interval into smaller subintervals, calculating areas for each rectangle, and summing them up, we can estimate areas accurately.
Integration Techniques: This refers to various methods used to find antiderivatives or definite integrals. Some common techniques include substitution, integration by parts, and trigonometric substitutions.
Area of Revolution: This is the concept of finding the volume or surface area generated when a curve is rotated around an axis. It involves using integrals to calculate these quantities.
AP Calculus AB/BC - 8.4 Finding the Area Between Curves Expressed as Functions of x
AP Calculus AB/BC - 8.5 Finding the Area Between Curves Expressed as Functions of y
AP Calculus AB/BC - 8.6 Finding the Area Between Curves That Intersect at More Than Two Points
AP Calculus AB/BC - 9.9 Finding the Area of the Region Bounded by Two Polar Curves
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