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Homework Homework Assignment #6 Review Section 5.6 Page 349, Exercises: 1 – 57(EOO) Quiz next time Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Calculate du for the given function. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Calculate du for the given function. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Write the integral in terms of u and du. Then evaluate. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Write the integral in terms of u and du. Then evaluate. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Write the integral in terms of u and du. Then evaluate.

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Homework, Page 349 Write the integral in terms of u and du. Then evaluate. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Write the integral in terms of u and du. Then evaluate. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Show that the integral is equal to a multiple of sin(u(x)) + C for an appropriate choice of u(x). Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Rogawski Calculus Copyright © 2008 W. H. Freeman and Company When using the Substitution Method, we may evaluate the original limits in terms of u and find new limits, or we may convert F(u) to F(x) and use the original limits.

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Rogawski Calculus Copyright © 2008 W. H. Freeman and Company Calculate the shaded area in Figure 1.

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Rogawski Calculus Copyright © 2008 W. H. Freeman and Company Calculate the shaded area in Figure 2.

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Rogawski Calculus Copyright © 2008 W. H. Freeman and Company Calculate the shaded area in Figure 3.

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Example, Page 349 Use the Change of Variables Formula to evaluate the definite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Example, Page 349 Use the Change of Variables Formula to evaluate the definite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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Homework Homework Assignment #7 Read Section 5.7 Page 349, Exercises: 61 – 89(EOO) Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

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