Approximating Definite Integrals. Left Hand Riemann Sums.

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Presentation transcript:

Approximating Definite Integrals

Left Hand Riemann Sums

Underapproximation; since f(x) is increasing 

Left Hand Riemann Sums

Right Hand Riemann Sums

Over approximation; since f(x) is increasing

Right Hand Riemann Sums

Midpoint Riemann Sums

Trapezoidal Rule

Summary