x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

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
Chapter4: Polynomials
Section4.10: Problems Without Solutions
Problem 12P
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#18 only RUSH
Solve the following equations. All fractions are in lowest form.
dr
J, ra(Vr2 – 9) ¯ a
(bVB + nc)
%3D
1.
dy
a
J, 1+ Vy+1
+ aln
%3D
2.
x²Vx+1
3.
x³dx
= alx2 - 16 +
|(x² – 16)8 + C
J Vx² – 16
4.
V25 – x²dx
av25 – x2
1
+In
|c + v25 – x²
+ C
bx2
5.
ds
1
=- In-
Is sVs= +144 a
6.
x² + 8x – 4
-dx = Inx + aln(x – a) – aln(x + a) + C
xa – 4x
7.
x+1
J, 1°(x – 1) *
+ bln=
a
8.
4xdx
3
= a + In
J. (x – 1)(x² – 1)
9.
dx
1
Jo I+xa ==(Inb +nVC)
10.
1, b
=- In
x(x² + 4) ¯ a"c
dx
11.
2 5x² – 3x + 18
x(9 – x²)
dx = aln b - clnd
12.
2- x
4x² + 4x – 3'
dx = -
In(4x + 4x – 3) +
16 n
13.
x³ +1
x(x + 3)(x + 2)(x – 1)
1. (x + 3) (x – 1)ª|
dx =- In
a"
+ c
xª(x+ 2)°
14.
x-dx
T- a
(9 + x³)= ="
15.
1+ g=dx = a[Vx= - In (1+
16.
x² + a
dx = -
+C
(16 + x²)ª
17.
b(16 + x³)=
x* dx
1
(9x² + 49)? –
or* + 49) + c
%3D
V9x: + 49 a
18.
Transcribed Image Text:Solve the following equations. All fractions are in lowest form. dr J, ra(Vr2 – 9) ¯ a (bVB + nc) %3D 1. dy a J, 1+ Vy+1 + aln %3D 2. x²Vx+1 3. x³dx = alx2 - 16 + |(x² – 16)8 + C J Vx² – 16 4. V25 – x²dx av25 – x2 1 +In |c + v25 – x² + C bx2 5. ds 1 =- In- Is sVs= +144 a 6. x² + 8x – 4 -dx = Inx + aln(x – a) – aln(x + a) + C xa – 4x 7. x+1 J, 1°(x – 1) * + bln= a 8. 4xdx 3 = a + In J. (x – 1)(x² – 1) 9. dx 1 Jo I+xa ==(Inb +nVC) 10. 1, b =- In x(x² + 4) ¯ a"c dx 11. 2 5x² – 3x + 18 x(9 – x²) dx = aln b - clnd 12. 2- x 4x² + 4x – 3' dx = - In(4x + 4x – 3) + 16 n 13. x³ +1 x(x + 3)(x + 2)(x – 1) 1. (x + 3) (x – 1)ª| dx =- In a" + c xª(x+ 2)° 14. x-dx T- a (9 + x³)= =" 15. 1+ g=dx = a[Vx= - In (1+ 16. x² + a dx = - +C (16 + x²)ª 17. b(16 + x³)= x* dx 1 (9x² + 49)? – or* + 49) + c %3D V9x: + 49 a 18.
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