## 2. Area Under a Curve by Integration

Formula For Area Bounded By Curves (Using Definite Integrals) The Area A of the region bounded by the curves y = f (x), y = g (x) and the lines x = a, x = b, where f and g are continuous f (x) ≥ g (x) for all x in [a, b] is The following diagrams

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## 3 Ways to Find the Area Under a Curve (and why you

A = ∫ a b d A = ∫ a b y d x = ∫ a b f ( x) d x Using the same logic, if we want to calculate the area under the curve x=g (y), y-axis between the lines y=c and

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## Area Under a Curve

Now we plug in the x=1 and x=15 to the definite integral, and calculate the difference between both calculations results. The difference represents the area under the plotted curve. Area = F (15)-F (1) Area = (0.0219/3)*15^3+

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