Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 30EQ
Related questions
Question
Use table of
Transcribed Image Text:7y2 – 11
dy
y2
Transcribed Image Text:REFERENCE PAGE
TABLE OF INTEGRALS
Forms Involving va? – u², a > 0
Vai – u² + sin-+
a?
30.
Va? - u? du =
uVa? – u² du = " (2u² – a²) Ja² – u² +
a4
- sin- + C
8
31.
a
a2 - u
a + Va? – u2
32
du — a? — и? — а In
+ C
u
1
/a² - u? - sin-
+ C
33.
du =
u*
a
a?
sin-
a
u? du
34.
Va2 — и? +
+ C
Va? - u?
a + Va? – u?
In
du
35. Wa? - u-
+ C
a
u
du
36.
Va? – u? + C
= -
uJa? – u?
a'u
(2u? – 5a?) Va? – u² +
За
- sin- + Ç
8
37.
(a? - u?)/2 du =
a
du
38.
+ C
(a? - u?)/2
a Va? - u?
Forms Involving vu? – a² , a > 0
Ju? - a? du =
In |u + Ju? – a² | + C
39.
1u? - a? du =
(2u² – a³) /u² – a² - In |u
+ Ju? – a² | + C
40.
Ju? - a2
41.
du = Vu? - a - a cos-
a
+ C
Vu? - a2
u - q?
42.
+ In |u + Vu? – a² | + C
du = -
u
du
43.
= In |u + Vu2 – a² |+ C
Vu²
u? du
44.
Vu? - a?
Vu? - a? +
2
In |u + Ju? – a?|+ C
du
45.
u?/u? - a?
+ C
%3D
a?u
du
il
46.
(u? – a?/2
+ C
a? Vu? - a
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