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abhaiitg
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Homework Statement
integerate e^(8x^2)
Homework Equations
The Attempt at a Solution
its seems it is not having closed integeral form.
Integrating e^(8x^2) - Solutions & Steps
- Thread starter abhaiitg
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SUMMARY
The integral of e^(8x^2) does not have a closed-form solution in terms of elementary functions. Instead, the error function, erf(x), is utilized for evaluating definite integrals involving e^(ax^2) where 'a' is a constant. The discussion highlights that without knowledge of the error function, students may struggle with this integral. Tools like Wolfram Alpha can assist in evaluating such integrals numerically or symbolically.
PREREQUISITES- Understanding of integral calculus
- Familiarity with the error function (erf)
- Basic knowledge of numerical integration techniques
- Experience using computational tools like Wolfram Alpha
- Research the properties and applications of the error function (erf)
- Learn about numerical integration methods for non-elementary functions
- Explore the use of Wolfram Alpha for solving complex integrals
- Study Gaussian integrals and their significance in calculus
Students studying calculus, mathematicians dealing with complex integrals, and anyone interested in advanced integration techniques.
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