AP Calculus Area

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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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 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

• 9/2

• 4/3

• 7/3

• 5/3

Find the Limit

• 0

• -1/4

• -5/4

• 1

• DNE

Given the following integral values, find the integral below

• A

• B

• C

• D

Approximate the integral using the Trapezoidal Rule

• A) 43

• B) 35

• C) 33

• D) 36.5