Calculus Area Between Curves

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

Find the area of the region enclosed by the lines and curves.

y = 3x + 4 and y = x² + 4

• 9

• 93/2

• 9/2

• 18

Find the area of the region enclosed by the lines and curves.
y² = x + 8   and  x = y + 64

• 891/2
• 4913/6
• 4937/6
• 955/2

Find the area of the region enclosed by the lines and curves.
y = -4sin(x)   y = sin(2x)    0 ≤ x ≤ Π 

• 8
• 1/2
• 4
• 16

Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the curve y = 1/√x, and the x axis.  (you should graph this)

• 6
• 5/4
• 3/2
• 3/4