Efficient Methods for Finding the Integral of e^(2x)sin(e^x)

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Homework Help Overview

The discussion revolves around finding the integral of the function e^(2x)sin(e^x), which falls under the subject area of calculus, specifically integration techniques.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts various methods, including integration by parts, but expresses confusion regarding the integral of sin(e^x). Some participants suggest a substitution approach with u = e^x and note the relationship e^(2x) = e^x * e^x.

Discussion Status

The discussion is ongoing, with participants offering hints and suggestions for approaches. There is no explicit consensus, but guidance regarding the use of integration by parts has been mentioned.

Contextual Notes

Participants are navigating through different methods and hints, indicating a lack of complete information on how to proceed with the integral.

rickp
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I tried several ways to find this it's just making me confused.
Integral of e^(2x)sin(e^x)dx

I tried Integration by parts but i can't seem to find out the integral of sin(e^x).
 
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how about letting u = e^x... and you do know that e^(2x) = e^x * e^x so...
 
hm, thanks ill try that
 
Here's another hint, you will eventually need to use integration by parts.
 

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