Tutorial Quiz

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Chapter 7: Techniques of Integration

Techniques of Integration
An excellent site that has tutorials covering virtually everything about integration techniques. It also has interactive online applets, practice problems with solutions, examples, quizzes, and tutorials on using graphing calculators.

Section 7.1: Integration by Parts

Integration by Parts I
This tutorial on integration by parts that derives the formula, explains each step of integrating by parts, and includes many examples.

Section 7.3: Trigonometric Substitution

Trigonometric Substitution
A tutorial with examples from Harvey Mudd College on using trigonometric substitutions to evaluate integrals.

Section 7.4: Integration of Rational Functions by Partial Fractions

Partial Fraction Expansion of a Rational Function
This online calculator computes the partial fraction expansion of a rational function that you specify.

Section 7.5: Strategy for Integration

Strategies for Integration
This site provides a broad overview of strategies to employ for a wide array of integrals.

Section 7.6: Integration Using Tables and Computer Algebra Systems

S.O.S. Math - Mathematical Tables and Formulas
An extensive collection of integration formulas and more.

Section 7.7: Approximate Integration

Numerical Integration
An online integrator that will calculate an approximation for the definite integral of a function f over the interval [a, b].

Simpson's Numerical Integrator
An online integrator that will use Simpson’s Rule to approximate a definite integral that you specify.

Numerical Integration: Accumulating Rates of Change
This online tutorial explains in depth the application of techniques of numerical integration to models related to nature and everyday life.

Section 7.8: Improper Integrals

Improper Integrals
This guide to improper integrals covers nearly all aspects, including convergence tests and gamma and beta functions. Scroll 2/3 of the way down the page to access the section on improper integrals.