Use the table of integrals to evaluate the integral. T cos (0) de
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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Transcribed Image Text:Basic Forms
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
S
21.
Su de = uv - S v du
22.
23.
S
24.
u" du =
Seu
du
S
u
fb" du =
e" du = e" + C
S co
I se
25.
n+1
= In u + C
sin u du = -cos u + C
Sv
b"
cos u du = sin u + C
Forms Involving √a² + u², a>0
4
√a² + u² +
S
S
In b
sec²u du = tan u + C
csc²u du = −cot u + C
S
I se
sec u tan u du = sec u + C
+ C
+ C, n-1
U
√a² + u² du =
a² + u²
aª
S
u² √a² + u² du = = (a² + 2u²) √a² + u² −
8
√a² + u²
u²
du
du =
du =
u
2
2
a² + u²a ln
√a² + u²
u
In(u + √a² + u²) + C
a + √a² + u²
u
+ In(u +
In(u + √a² + ²) + C
+ C
11.
√a² + u²) + C
12.
13.
15.
S tan u du = ln | sec u + C
16.
17.
14.
S sec u du = ln | sec u + tan u + C
So
csc u cot u du = -csc u + C
18.
S
20.
19.
cot u du = ln | sin u + C
S
csc u du = ln csc u cot u + C
S
S
du
√a² u²
du
a² + u²
a
ST²
du
In(u + √a² + u²) + C
u
du
1
u√/u² a² a
du
u² - a²
=
u
= sin + C, a>0
a
=
1
=
a
tan
=
1
2a
1
2a
In
-1
- In
U
a
sec
+ C
u
a
u + a
u-a
u-a
u + a
+ C
+ C
+ C
Transcribed Image Text:Use the table of integrals to evaluate the integral.
J."
cos(0) de
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