Integrals and Transcendentals | Step By STEM

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Integrals and Transcendentals.png

Estimating with Finite Sums

Area Calculus.png

Upper and Lower Sum Four.png

Upper and Lower Sum Two.png

Midpoint Example.png

Estimate The Average Value of a Function.png

Examples of estimating with finite sums include finding the area under a graph, the distance traveled, and the average value of a function.

Sigma Notation

Sigma Notation.png

Sigma Notation: A compact way to write a sum with many terms. A graphing calculator can be used to solve for a sum in sigma notation.

Sigma Rules.png

Sum of the First n Integers.png

Special rules apply to certain sums in sigma notation.

Riemann Sum Formulas.png

Riemann Sum Graph (Left).png

Riemann Sum Graph (Right).png

Riemann Sum Graph (Midpoint).png

Limits of Riemann Sums.png

Riemann Sums: An approximation of an integral by a finite sum.

Norm of the Partition.png

Partition of Norm: The largest of all the subinterval widths.

Definite Integrals

Definite Intergral as Limit of Riemann Sum.png

Expressing Limits as Definite Integrals.png

Integral Rules.png

Area Under the Curve.png

Special Integral Rules.png

Evaluating Definite Integrals.png

Average Value Integral.png

Practice Sheets

Estimating with Finite Sums Practice

Sigma Notation Practice

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