Area Calculus

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 that would find the area of the region enclosed by the curves.

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

• 1200

• 1/12

• 1134

• 1076

Q1. What is the result of 12 divided by 3?

• A) 12/3

• B) 6.5

• C) 5.5

• D) 11/3

• A
• B
• C
• D

• A
• B
• C
• D

Find the integral for the area under the curve.

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