The trapezoidal rule is yet another way to approximate the area under a curve. Learn about they way it's constructed and how accurate it is comparing the rectangular Riemann sums.
Definite_integral_as_the_limit_of_a_Riemann_sum
The definite integral of a function is the limit of a sequence of Riemann sums where the intervals become infinitely small. Learn more about this formal definition.
Riemann sums is the name of a family of methods we can use to approximate the area under a curve. Learn about the different ways and how they are constructed.
Review your understanding of Riemann sums with some challenge problems.
Riemann_sums_with_sigma_notation
The larger the number of terms in a Riemann sum, the more accurate it is. But as the number of terms increases, we need better ways to write them down. This is where sigma notation comes in very handy.
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