Area Between Curves

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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

When setting up a definite integral to find the area between two curves, why must we subtract one function from the other?

• To find the net area enclosed between the curves.

• To determine the larger function of the two.

• To calculate the total area under both curves.

• To ensure the integral has a positive value.

Why is it important to find the intersection points of two curves when calculating the area between them?

• Intersection points are used to determine the height of the area.

• They help in finding the exact shape of the area to be calculated.

• Intersection points define the limits of integration for the area calculation.

• They indicate the maximum and minimum points of the curves.

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