2-x dr = - tn(4x* + 4x - 3) + 4x² + 4x – 3 16 (x + 3)*(x – 1)^ | F(x+2)* x+1 (x+ 3)(x + 2)(x – 1) x*dx % =j= = (9 + x

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
13 14 15
s +144 a"
Solve the following equations. All fractions are in lowest form.
dr
1.
dy
+ aln-
Jo 1+
2.
3.
x³dx
= avx2 - 16 -
Vcx² – 16)ổ + 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
dx = Inx + aln(x – a) – aln(x + a) +C
x - 4x
7.
x+1
(1 – x);x
+ bin
+ In
J, *(x – 1)
8.
4xdx
J.a- 1)(x² – 1)
9.
dx
(înb + aVc)
1+x
a
10.
1. b
=- In-
dx
J, r(x* + 4)¯ a
11.
5x - 3x + 18
-dx = aln b – clnd
x(9 – x²)
12.
(2х — 1
-In
2-x
dx = -
a
(4x* + 4x - 3) + 할(2x+:
4x2 + 4x - 3
13.
x* +1
1. [(x + 3)*(x – 1)ª|
+e
x(x+ 3)(x +2)(x= dx =n
x*(x + 2)ª
x(x + 3)(x + 2)(x - 1)
14.
x*dx
(9 +x²)²
15.
=
1+ dx = a[Vx= - In (1 + V=)] +c
16.
x +a
(16+xj dx =
x* dx
V9x + 49
b(16 +x³)= *
17.
1
-(9x² + 49)} - (9x² + 49) + c
a
18.
Transcribed Image Text:s +144 a" Solve the following equations. All fractions are in lowest form. dr 1. dy + aln- Jo 1+ 2. 3. x³dx = avx2 - 16 - Vcx² – 16)ổ + 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 dx = Inx + aln(x – a) – aln(x + a) +C x - 4x 7. x+1 (1 – x);x + bin + In J, *(x – 1) 8. 4xdx J.a- 1)(x² – 1) 9. dx (înb + aVc) 1+x a 10. 1. b =- In- dx J, r(x* + 4)¯ a 11. 5x - 3x + 18 -dx = aln b – clnd x(9 – x²) 12. (2х — 1 -In 2-x dx = - a (4x* + 4x - 3) + 할(2x+: 4x2 + 4x - 3 13. x* +1 1. [(x + 3)*(x – 1)ª| +e x(x+ 3)(x +2)(x= dx =n x*(x + 2)ª x(x + 3)(x + 2)(x - 1) 14. x*dx (9 +x²)² 15. = 1+ dx = a[Vx= - In (1 + V=)] +c 16. x +a (16+xj dx = x* dx V9x + 49 b(16 +x³)= * 17. 1 -(9x² + 49)} - (9x² + 49) + c a 18.
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