(x In x)³ dx, (c) S Vin (1/z) dz. 9.33. Evaluate (a) (In x)* dz, (b)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
Please help number 33. Using gamma functions. Please
![(6) J, *
Supplementary Problems
GAMMA FUNCTION
r(7)
2 Г(4) г(3)"
Г(3) 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.
'dæ, (b) Vze-V= dz, (e)
y3 e-20° 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.
9.33.
Evaluate
(a)
(In x)4 dx,
(x In x)³ dx,
(c)
I Vin (1/2) dzr.
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 V7
1•3• 5..· (2m – 1)
9.36.
Prove that if m is a positive integer, r(-m + })](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5012fdbd-6956-43ca-ab4a-d129587dc7e1%2F618e53d9-b8f9-4098-822e-2dd5926f2295%2F41tyh9o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(6) J, *
Supplementary Problems
GAMMA FUNCTION
r(7)
2 Г(4) г(3)"
Г(3) 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.
'dæ, (b) Vze-V= dz, (e)
y3 e-20° 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.
9.33.
Evaluate
(a)
(In x)4 dx,
(x In x)³ dx,
(c)
I Vin (1/2) dzr.
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 V7
1•3• 5..· (2m – 1)
9.36.
Prove that if m is a positive integer, r(-m + })
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