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Transcendental Functions
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Calculus III

Course: Calculus II
Topic: Transcendental Functions
Subtopic: Electronic Integration

Overview

Some integrals simply cannot be integrated symbolically and must be evaluated electronically (or using numerical integration, covered in another lesson note). Electronic evaluation can be accomplished using computing software, an application, or handheld calculator.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 5.4.1 Evaluate a definite integral electronically finding decimal approximation answer

Mini-Lectures and Examples

Supplemental Resources (required!)

You must have access to technology that allows you to evaluate a definite integral electronically. If you have a handheld TI-84, TI-89, or TI-92 graphing calculator see Prof. Keely's Calculator Guide: Evaluating Integrals Note that the TI-84 can only evaluate a definite integral, not an indefinite integral.

Here is an example with command line in "calculator" notation Integrating Electronically using Wolfram Alpha. Wolfram Alpha is reliable and fairly user friendly. There are several dedicated integration calculators available online, but some are pathetically inaccurate, caution! Wolfram Alpha is accurate and user-friendly.

A lot more detail, including an example using DESMOS, is given in this post in WAMAP: Mini-Lecture: integrating electronically.

Supplemental Resources (optional)

rev. 2021-02-12