How do I evaluate this integral?

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Homework Help Overview

The discussion revolves around evaluating the integral of the function e^(x) * cos(e^x) from -1 to 0. Participants are trying to understand the transition from the integral expression to its evaluation involving sin(e^x).

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants express confusion about the steps taken in the example, particularly regarding the substitution method involving u = e^x. There is an attempt to clarify the reasoning behind the evaluation process.

Discussion Status

Some participants have acknowledged the guidance provided regarding the substitution approach. However, the overall understanding of the transition from the integral to its evaluation remains a topic of exploration.

Contextual Notes

There appears to be a focus on the specific steps in the evaluation process, with participants questioning the assumptions made in the example provided in the book.

frasifrasi
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I don't understand how the book example went from

integral from -1 to 0 of [e^(x).cos(e^x)]dx

to sin(e^x)]evaluate at -1 and 0.

Can someone please explain?
 
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frasifrasi said:
I don't understand how the book example went from

integral from -1 to 0 of [e^(x).cos(e^x)]dx

to sin(e^x)]evaluate at -1 and 0.

Can someone please explain?

Use a substitution of u = e^x.
 
Yes! thank you.
 
frasifrasi said:
Yes! thank you.

no prob.
 

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