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The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1/3x³/², 5 ≤ x ≤ 21

User Jdachtera
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Final answer:

To find the area of the resulting surface when a curve is rotated about the y-axis, we can use the formula for the surface area of revolution.

Step-by-step explanation:

To find the area of the resulting surface when the given curve is rotated about the y-axis, we can use the formula for the surface area of revolution. The formula is given by:

A = 2π∫ab(y√(1+(dy/dx)²))dx

In this case, the curve is represented by the equation y = x³/², and the limits of integration are a = 5 and b = 21. We can plug these values into the formula and calculate the area.

User Froast
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