Math Problem Statement
Can you compute the integral of exp(-ax^4 + bx), where x varies from 0 to infinity, a is a positive real number, and b is any real number? Can the answer be expressed in terms of special functions?
Solution
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Math Problem Analysis
Mathematical Concepts
Integral Calculus
Special Functions
Formulas
Integral of exp(-a*x^4 + b*x)
Theorems
Properties of the Modified Bessel Function of the Second Kind
Suitable Grade Level
Advanced Mathematics