AP Calculus | Riemann Sums & Summation Notation

How do you determine the base length of each subinterval on the interval [a,b]?

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What’s the area of a rectangle?

base x height

In the context of riemann sums, what’s the area of a trapezoid?

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When doing a right-riemann sum on an increasing function, is the sum an underestimate or overestimate?

Overestimate

When doing a left-hand riemann sum on an increasing function, is the sum an underestimate or overestimate?

Underestimate

When doing a right-hand riemann on an decreasing function, is the sum an underestimate or overestimate?

Underestimate

When doing a left-hand riemann on an decreasing function, is the sum an underestimate or overestimate?

Overestimate

When doing a trapezodial riemann sum on a concave-up function, is the sum an underestimate or overestimate?

Overestimate

When doing a trapezodial riemann sum on a concave-down function, is the sum an underestimate or overestimate?

Underestimate

Write a limit that would equal the intergal on the interval of [a, b], of f(x)

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