10 11 12 s +144 a"Solve the following equations. All fractions are in lowest form.dr1.dy+ alnJo 1+Vy2.3.x³dxa/x² – 16 +V(x² – 16) + CVx² – 164.V25 - xdxav25 --xc-+ V25+Cbx?b.c5.1. b=- In-dssV5=+144 a6.x² + 8x - 4TÁydx = Inx + aln(x – a) – aln(x + a) +Cx - 4x7.x +1J, *(x – 1)(I – x);x+ bin(x – 1)(x² – 1) = a + In58.4xdx9.dx(înb + aVc)1+xa10.1. b=- In-dxJ, x(x* + 4)¯ a11.5x - 3x + 18J 19-1 dx = aln b – clnd12.(2х — 1+e2-xdx =-.a-In(4x² + 4x – 3) + g in4x2 + 4x - 313.|(x + 3)*(x – 1)ª|x*(x + 2)ªx +1x(x + 3)(x + 2)(x = 1 dx = -- ++ex(x + 3)(x + 2)(x - 1)14.x*dx(9 + x²)²15.16.1+ Vx+aLuse d =- 16 + x*)= * Cdx =(16 +x-)17.x* dxV9x + 491(9x* + 49)} - (9x² + 49) + ea18.

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Math

Calculus

2-x 4x + 4x - -m(4x* + 4x – 3) + In| (2x 2x- – 3 x +1 x(x + 3)(x + 2)(x – 1) 1 (x + 3)*(x – 1)ª I dx-In (x + 2)*

2-x 4x + 4x - -m(4x* + 4x – 3) + In| (2x 2x- – 3 x +1 x(x + 3)(x + 2)(x – 1) 1 (x + 3)(x – 1)ª I dx-In (x + 2)

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.3: Equations With Fractional Coefficient

Problem 13P

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Question

10 11 12

s +144 a"
Solve the following equations. All fractions are in lowest form.
dr
1.
dy
+ aln
Jo 1+Vy
2.
3.
x³dx
a/x² – 16 +V(x² – 16) + C
Vx² – 16
4.
V25 - xdx
av25 -
-x
c-
+ V25
+C
bx?
b.c
5.
1. b
=- In-
ds
sV5=+144 a
6.
x² + 8x - 4
TÁy
dx = Inx + aln(x – a) – aln(x + a) +C
x - 4x
7.
x +1
J, *(x – 1)
(I – x);x
+ bin
(x – 1)(x² – 1) = a + In5
8.
4xdx
9.
dx
(înb + aVc)
1+x
a
10.
1. b
=- In-
dx
J, x(x* + 4)¯ a
11.
5x - 3x + 18
J 19-1 dx = aln b – clnd
12.
(2х — 1
+e
2-x
dx =-.
a
-In(4x² + 4x – 3) + g in
4x2 + 4x - 3
13.
|(x + 3)*(x – 1)ª|
x*(x + 2)ª
x +1
x(x + 3)(x + 2)(x = 1 dx = -- +
+e
x(x + 3)(x + 2)(x - 1)
14.
x*dx
(9 + x²)²
15.
16.
1+ V
x+a
Luse d =- 16 + x*)= * C
dx =
(16 +x-)
17.
x* dx
V9x + 49
1
(9x* + 49)} - (9x² + 49) + e
a
18.

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