Calculus - Area under curve

The diagram shows the curve y = (x − 2)² and the line y + 2x = 7, which intersect at points A and B. Find the area of the shaded region.

Find the integral for the area under the curve.

Find the integral that would find the area of the region enclosed by the 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

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

• A
• B
• C
• D

Find the area of the region bounded by the curves y=x² and y=√x

• .444

• .666

• .333

• .456

Calculate the area for the shaded region on the parabola y = x² - 5x

• -39.33 units²

• 20.833 units²

• 106.67 units²

• -20.833 units²

• 39.33 units²

The value of the definite integral for the shaded region on the function y = x³ - 3x² +2x is:

• 1.4

• 0.5

• 0.56

• 0

• 0.33