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ERJAEE, G. (20)

Lecture 8

Department

MathematicsCourse Code

MATH 2BProfessor

ERJAEE, G.Lecture

8This

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MATH 2B - Lecture 8 - Area Between Curves

Definite integral of a function: ∫𝑏

𝑎𝑓(𝑥)𝑑𝑥

Net Area

Area between curves: ∫𝒃

𝒂|𝒇(𝒙)−𝒈(𝒙)|𝒅𝒙

Positive areas

To make sure all the areas are positive, we need to plot the two curves and decide

which function is on the top, which is at the bottom.

Case I: One function is always on the top on the whole interval.

Example:

Find the area between y=x²+2 and y=-x-1, on the interval [0,1].

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