32. Although we cannot compute the antiderivative of f(x) = e12, it can be shown that: Use this fact to show that D0 = V27 Hint: Write the integrand as x (xe*12) and use integration by parts.
32. Although we cannot compute the antiderivative of f(x) = e12, it can be shown that: Use this fact to show that D0 = V27 Hint: Write the integrand as x (xe*12) and use integration by parts.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:32. Although we cannot compute the antiderivative of
f(x) = e-*2, it can be shown that:
%3D
e12 dx = /2n
-00
Use this fact to show that
00
re2 dx =
Hint: Write the integrand as x (xe*12) and use integration by
parts.
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The integration by parts is stated as follows :
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