CB.Calc.LIM-5.A: Approximate a definite integral using geometric and numerical methods.

Approximate a definite integral using geometric and numerical methods.

Example Problems

Approximate the area between the x-axis and

g(x) = 3^x

from

x = -1

to

x = 2

using a trapezoidal sum with 3 equal subdivisions.
What is the approximate area?

Approximate the area between the x-axis and

g(x) = 2^x

from

x = -2

to

x = 2

using a trapezoidal sum with 4 equal subdivisions.
What is the approximate area?

Approximate the area between the x-axis and

g(x) = x^3

from

x = 0

to

x = 3

using a midpoint Riemann sum with 3 equal subdivisions.
What is the approximate area?

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