Area Between Curves

Mathematical Equivalence

ON

• 0 and 1

• 0 and 2

• -2 and 0

• -2 and 2

Find the area of the region enclosed by the curves.

• a) 19.083

• b) 20.083

• c) 20.75

• d) 21.083

Find the area of the region enclosed by the curves.

• a) 19.083

• b) 21.083

• c) 63.25

• d) 42.167

What would be the bounds if you used vertical rectangles to find the area?

What would be the bounds if you used horizontal rectangles to find the area?

Write the integral that would be used to find the area bounded by

y = x² + 1, y = x - 2, x = -2 and x = 2.

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Find the area of the region bounded by the parabolas y = 2x - x² and y = x².

• 3

• 1

• -3

• 1/3