Area and Volume Calc

Write the integral that would be used to find the area bounded by y = x² + 1, y = x - 2, x = -2 and x = 2.

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Write the integral that would be used to find the area of the region bounded by x = 1, y = √x and y = -x + 6.

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Write the integral that would be used to find the area bounded by the graphs of x - y = 2, y = 8 and x = y^2/3.

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Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

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Find the area of the region bounded by the graphs of y = x² and y = 4x.

• 32/3

• 64/3

• 32

• 64

• 32/5

Find the area of the region bounded by the equations y = x² + 1 and y = 5.

• 32/3

• 64

• 32

• 64/3

• 16

Write the integral that would be used to find the volume of the region bounded by x = -1, x = 2, y = 0 and y = 1/2x² + 2.

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Write the integral that would be used to find the volume of the solid generated when the region bounded by the graphs of the y-axis, y = 9 and y = x³ + 1 is revolved about the x-axis.

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Calculate the area of the region enclosed by the curves y = x² + 2 and y = 6.

• 64/3

• 32/3

• 8

• 16

• 16/3

Use a definite integral to find the volume of the solid formed when the region bounded by the given curves is rotated 360⁰ about the x-axis

• 131

• 652

• 254

• 113