Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
How can you solve for part b. I am very confuse
![111. Gamma function The gamma function is defined by I (p) =
integer.
f(x)=x
a. Use the reduction formula
as48=0
Г(Р) =
to show that I (p+1) = p! (p factorial).
b. Use the substitution x = u² and the fact that
:
Sox
X
00
So xp-¹e* dx → [(p+¹) = P&
-X
↑
u
:
P-1 -X
e
↑
dx
∞
[* pf*:
0
-b
[lim -- XS.
:
£*]
Suv' = uv- Svu
00
P -X
-X
- x-x^ |*" - S^«et pati de
P-1
:
-e
dx
px
M = X
P
_X
= [x²-ë² 10 ] + p Soºč“. ‚x“ d«
Pol
:
dx
·(0)
。)?-.
μ' = px
P
P-1
-X
· [o-o] - Sic². M. de
dx
p
X
Soc. xf² dx
xPex dx = p xP-le-x dx for p = 1, 2, 3, ...
8
foº e
S
∞
v=-èx
': ¿¨*
*x²-¹e-* dx, for p not equal to zero or a negative
√
e-u² du =
to show that I
T ( ²2 ) = √TT.
Suv' = uv-Sve
How to pick .....
IST L
L
од
nverse
A lgebraic (+,-, *, *, `√, x^)
I rig
E xponential](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3073de58-1b40-421a-8538-3fd557e8e327%2F7436faef-6d59-47d2-91dd-23da6bae9d8d%2Fdcrcll_processed.jpeg&w=3840&q=75)
Transcribed Image Text:111. Gamma function The gamma function is defined by I (p) =
integer.
f(x)=x
a. Use the reduction formula
as48=0
Г(Р) =
to show that I (p+1) = p! (p factorial).
b. Use the substitution x = u² and the fact that
:
Sox
X
00
So xp-¹e* dx → [(p+¹) = P&
-X
↑
u
:
P-1 -X
e
↑
dx
∞
[* pf*:
0
-b
[lim -- XS.
:
£*]
Suv' = uv- Svu
00
P -X
-X
- x-x^ |*" - S^«et pati de
P-1
:
-e
dx
px
M = X
P
_X
= [x²-ë² 10 ] + p Soºč“. ‚x“ d«
Pol
:
dx
·(0)
。)?-.
μ' = px
P
P-1
-X
· [o-o] - Sic². M. de
dx
p
X
Soc. xf² dx
xPex dx = p xP-le-x dx for p = 1, 2, 3, ...
8
foº e
S
∞
v=-èx
': ¿¨*
*x²-¹e-* dx, for p not equal to zero or a negative
√
e-u² du =
to show that I
T ( ²2 ) = √TT.
Suv' = uv-Sve
How to pick .....
IST L
L
од
nverse
A lgebraic (+,-, *, *, `√, x^)
I rig
E xponential
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
how are you getting pi. should it be pi/4 or is it because you are flipping 1/2 to 2/1. I am still confuse
Solution
by Bartleby ExpertRecommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning