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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Question
#12 only rush
![Solve the following equations. All fractions are in lowest form.
dr
(bV5 + nc)
- 9) a
%3D
1.
dy
a
a
+ aln
2.
a
3.
x³dx
Jx2 – 16
= a/x²
- 16 +V(x2 – 16) + C
4.
aV25 – x²
bx²
V25 – x²dx
|c +V25 – x2
- In
b.c
1
+ C
x3
5.
1
- In
svs: + 144
ds
6.
* x² + 8x – 4
x3 – 4x
-dx = Inx + aln(x – a) – aln(x + a) + C
7.
x+1
1
x³ (x – 1)
= --+ bln -
a
8.
3
= a + In
4xdx
(x – 1)(x² – 1)
9.
dx
1
( Inb + πνε)
%3D
1+x³
a
10.
dx
1. b
%3D
x(x² + 4)
1.
r² 5x² – 3x + 18
-dx = aln b – clnd
x(9 — х?)
12.
2- x
4x² + 4x – 3
2х - 1
In(4x² + 4x – 3) +1 ln 3
b
dx = -
a
2x +
13.
x³ +1
1
|(x + 3) (x – 1)|
In
dx =
x(x + 3)(x + 2)(x – 1)
xª(x + 2)°
a
14.
x-dx
T - a
(9+x²)²
15.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff77c9041-a1a0-4fb1-bfc8-d33d75791e33%2Ff76e6c29-83f4-4c88-a0b5-afd9af9ee244%2Fragcqlv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the following equations. All fractions are in lowest form.
dr
(bV5 + nc)
- 9) a
%3D
1.
dy
a
a
+ aln
2.
a
3.
x³dx
Jx2 – 16
= a/x²
- 16 +V(x2 – 16) + C
4.
aV25 – x²
bx²
V25 – x²dx
|c +V25 – x2
- In
b.c
1
+ C
x3
5.
1
- In
svs: + 144
ds
6.
* x² + 8x – 4
x3 – 4x
-dx = Inx + aln(x – a) – aln(x + a) + C
7.
x+1
1
x³ (x – 1)
= --+ bln -
a
8.
3
= a + In
4xdx
(x – 1)(x² – 1)
9.
dx
1
( Inb + πνε)
%3D
1+x³
a
10.
dx
1. b
%3D
x(x² + 4)
1.
r² 5x² – 3x + 18
-dx = aln b – clnd
x(9 — х?)
12.
2- x
4x² + 4x – 3
2х - 1
In(4x² + 4x – 3) +1 ln 3
b
dx = -
a
2x +
13.
x³ +1
1
|(x + 3) (x – 1)|
In
dx =
x(x + 3)(x + 2)(x – 1)
xª(x + 2)°
a
14.
x-dx
T - a
(9+x²)²
15.
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