18. Define I(a, b) = ª exp(-a²u²_b²u^²) du for a, b>0. Show that (a) 1(a, b) = a¹1(1, ab), (c) 1(a, b)=√√e-2ab/(2a). (b) al/ab= -21(1, ab),
18. Define I(a, b) = ª exp(-a²u²_b²u^²) du for a, b>0. Show that (a) 1(a, b) = a¹1(1, ab), (c) 1(a, b)=√√e-2ab/(2a). (b) al/ab= -21(1, ab),
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 53E
Related questions
Question
![18. Define
I(a, b) =
for a, b 0. Show that
(a) I (a, b) = a¹1(1, ab),
(c) I (a, b)=√√e-2ab/(2a).
So exp(-a²u² - b²u^²) du
(b) al/ab= -21(1, ab),](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85a2cad8-33d9-4ba4-afad-be932def2d2a%2F9ad5a55e-c30e-4989-9de3-5612e5a194a0%2F22tdtze_processed.jpeg&w=3840&q=75)
Transcribed Image Text:18. Define
I(a, b) =
for a, b 0. Show that
(a) I (a, b) = a¹1(1, ab),
(c) I (a, b)=√√e-2ab/(2a).
So exp(-a²u² - b²u^²) du
(b) al/ab= -21(1, ab),
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