9.33. Evaluate (a) (In x)4 dz, (b) (x In z)3 dz, (c) S Vin (1/2) dz.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Help me number 9.33. Doing step by step

Transcribed Image Text:(6) J, *
Supplementary Problems
GAMMA FUNCTION
r(7)
2 Г(4) г(3)"
Г(8) г(3/2)
Г(9/2)
9.28.
Evaluate
(a)
(b)
(с) г(1/2) г(3/2) г(5/2).
00
9.29.
Evaluate
(а)
x4 e-* dx,
x8 e-3x dx,
(c)
x2 e- 2x dx.
dx, (b) Vze-VE dz, (e) f"
y3 e-2v° dy.
9.30.
Find
(a)
e
e-st
9.31.
Show that
dt =
8 > 0.
VE
n-1
9.32.
Prove that
r(n)
In
dx, n > 0.
231 / 417
(b) S"
S
Vin (1/x) dx.
9.33.
Evaluate
(a)
(In x)4 dx,
(x In x)3 dx,
(c)
9.34.
Evaluate
(а) г(-7/2), (6) г(-1/3).
9.35.
Prove that
lim r(x) :
= 00 where m = 0, 1, 2, 3, ...
*- -m
(-1)m 2m VT
1• 3• 5... (2m – 1)
9.36.
Prove that if m is a positive integer, r(-m + })
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