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...
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![a) Evaluate the following integrals
1) | xe3xdx
x² sin x dx
3) | x sin 2x dx
)| Vĩ In x dx
5)
x In x dx
6) | (In x)² dx
In x
7)
Vx
8) | In(x² + 4)dx
9) | sin-1 x dx
tan-'(2x)dx
11)
12)
10)
x tan-1 xdx
e* sin x dx
13)
e2x cos 3x dx
14) |
sin(In x)dx
15) cos(In x) dx
16) | x(sec x)? dx
17) x(tan x)²dx
18) x'e**dx
19)
sec-1 Vo do
20)
x2 In x dx
b) Evaluate the following integrals using tabular integration by parts
2) Sa²
4) J x* V2x +1 dx
- x + 2)e* dx
+ x + 1) sin x dx
3) 8x* cos 2x dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09ca1fff-b34c-4bd7-8f36-13aef84ea219%2F75871986-725b-4100-94f1-05b15f917b45%2F99dlvx9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) Evaluate the following integrals
1) | xe3xdx
x² sin x dx
3) | x sin 2x dx
)| Vĩ In x dx
5)
x In x dx
6) | (In x)² dx
In x
7)
Vx
8) | In(x² + 4)dx
9) | sin-1 x dx
tan-'(2x)dx
11)
12)
10)
x tan-1 xdx
e* sin x dx
13)
e2x cos 3x dx
14) |
sin(In x)dx
15) cos(In x) dx
16) | x(sec x)? dx
17) x(tan x)²dx
18) x'e**dx
19)
sec-1 Vo do
20)
x2 In x dx
b) Evaluate the following integrals using tabular integration by parts
2) Sa²
4) J x* V2x +1 dx
- x + 2)e* dx
+ x + 1) sin x dx
3) 8x* cos 2x dx
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