The error function is widely used in probability theory, theory of errors, and various branches of mathematical physics. The error function is defined by the integral 2 erf(t) ,-x² dx. Evaluate the following nonlinear integral transforms after changing the order of integration 00 00 e-pt erf(t) dt and e-pt erf(1/vE) dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 76E
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The error function is widely used in probability theory, theory of errors, and various
branches of mathematical physics. The error function is defined by the integral
erf(t) =
ーx2
dx.
e
Evaluate the following nonlinear integral transforms after changing the order of
integration
e-pt erf(t) dt and
e-pt erf(1/vE) dt
Transcribed Image Text:The error function is widely used in probability theory, theory of errors, and various branches of mathematical physics. The error function is defined by the integral erf(t) = ーx2 dx. e Evaluate the following nonlinear integral transforms after changing the order of integration e-pt erf(t) dt and e-pt erf(1/vE) dt
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