Area Bound by Curves

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

Tags

CCSS.HSA.REI.D.11

CCSS.HSA.REI.C.7

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

Tags

CCSS.HSF.TF.B.7

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

• A
• B
• C
• D

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)

• 5/4

• 11/4

• 3/2

• 3/4

Tags

CCSS.HSA.REI.D.11

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.7

(3 min)
What is the area enclosed by the curves f(x) = 1/√x  and 1/x²  between x = 1 and x = 4?

• ln8
• 13/4
• 3/4
• 5/4