r 5x² – 3x + 18 dx aln b - clnd x(9 – x²) 12.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 114CM
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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.
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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