AP Calculus AB
8.2 Area Between Curves
1)
Mathematician:
Tue Feb 5th, 2013
Find the area of the shaded region below between y = x 2 and x + y = 2 .
2)
Find the area of the shaded region below between y = 2x 2 − 8 and y = 4 − x 2 .
3)
Find the area of the shaded region below between y = −x 2 − 2x and y = x 2 − 4 .
4)
Find the area of the region enclosed by the line and curve below.
y = −x 2 + 3x
y +4=x
5)
Find the area of the region enclosed by the line and curve below.
y 2 − 4x = 4
4x − y = 16
AP Calculus AB
8.2 Area Between Curves
Mathematician:
Tue Feb 5th, 2013
Homework
1)
Find the area of the shaded region.
2)
Find the area of the shaded region.
y =x
y =
x3
3
−x
y =1
y =
x2
y =
4
x
3
Find the areas of the regions enclosed by the lines and curves below.
3)
y = x 2 and y = −x 2 + 4x
5)
Find the area of the region in the first quadrant bounded on the left by the y-axis, below
by the line y =
y =
2
x
.
x
4
4)
y = x and y = x − 2 and y = 0
, above left by the curve y = 1 + x , and above right by the curve