- #1
How to perform this integration?
- Thread starter xmtung
- Start date
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- Integration
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Homework Help Overview
The discussion revolves around a specific integration problem involving the integral of a product of cosine and an exponential function, specifically ∫cos(kx)exp[(-αt)K^2] dk from zero to infinity.
Discussion Character
- Exploratory, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the integration process, including the conversion of cosine into exponential terms and the suggestion to complete the squares in the exponents. There is also mention of a change of variable and referencing known results related to exponential functions.
Discussion Status
The discussion is ongoing, with participants exploring various approaches to the integration. Some guidance has been offered regarding the manipulation of the integrand, but no consensus or final solution has been reached.
Contextual Notes
One participant noted an issue with viewing the original problem statement, indicating a potential barrier to fully understanding the context of the integration.
- #2
rock.freak667
Homework Helper
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- 31
...I can't view the picture...try re-upping it as a jpeg or something so
- #3
- #4
Dick
Science Advisor
Homework Helper
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Convert cos(kx) to (exp(ikx)+exp(-ikx))/2. Combine the exponentials and complete the squares in the exponents. Now do a change of variable and use the known result for exp(-Cx^2).
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