Calculus Area

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.

_{Evaluate the integral}

• 30/3

• 31/3

• 29/3

• 32/3

• 0

• 1

• Undefined

• 0

• 1

• 2

• Undefined

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

• A
• B
• C
• D

Find the gradient of the curve with equation 2x² − 4xy + 3y² = 3, at the point (2, 1).

• 2

• 3

• 4

• 5