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Formula for Area Under a Positive Curve
∫ba y dx
where y = f(x) is the equation of the curve
Formula for a Rotation of 2π About the x-axis
π∫ba y² dx
Formula for a Rotation of 2π About the y-axis
π∫ba x² dy
Volume of a Cylinder
height h and radius r
V = πr²h
Volume of a Cone
height h and base radius r
V = (1/3)πr²h
Adding or Subtracting Volumes
you can find more complicated volumes of revolution by adding or subtracting volumes