2.04.4.Literacy - Accumulation Authors: Bill Davis, Horacio...

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Accumulation Authors: Bill Davis, Horacio Porta and Jerry Uhl ©1996-2007 Publisher: Math Everywhere, Inc. Version 6.0 2.04 Transforming Integrals LITERACY What you should be able to handle away from the machine. · L.1) Explain how to transform the integral Ÿ 0 3 Cos A x 2 E 2 x x into Ÿ 0 9 Cos @ u D u. Use the second integral to calculate the first. · L.2) Explain how to transform the integal Ÿ 0 5 Cos A x 2 E x x into 1 2 Ÿ 0 25 Cos @ u D u Use the second integral to calculate the first. · L.3) Explain how to transform the integal Ÿ 0 p 2 e Sin @ x D Cos @ x D x into Ÿ 0 1 e t t Use the second integral to calculate the first. · L.4) Explain how to transform the integal Ÿ 0 Log @ 3 D e x 1 + e x x into Ÿ 2 4 1 t t Use the second integral to calculate the first. · L.5) Use a transformation to help calculate Ÿ 0 Log @ 5 D e - x 1 + e - x x by hand. · L.6) Here are three integrals: Ÿ 0 1 e - x 3 3 x 2 x, Ÿ 0 1 e - x 2 2 x x, and Ÿ 0 1 e - x x Use transformations to explain why all these integrals calculate out to the same value. · L.7)
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2.04.4.Literacy - Accumulation Authors: Bill Davis, Horacio...

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