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x² +8x – 4 -dx = Inx + aln(x - a) – aln(x + a) + C x³ – 4x 7. x+1 1 + bln - x³ (x – 1) 8. 4xdx 3 a+ In (x – 1)(x² – 1) 9.

x² +8x – 4 -dx = Inx + aln(x - a) – aln(x + a) + C x³ – 4x 7. x+1 1 + bln - x³ (x – 1) 8. 4xdx 3 a+ In (x – 1)(x² – 1) 9.

Algebra: Structure And Method, Book 1
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
Section4.9: Area Problems
Problem 1OE
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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. + ldx = 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. ds 1 - In svs: + 144 6. * x² + 8x – 4 x3 – 4x -dx = Inx + aln(x – a) – aln(x + a) + C 7. x+1 1 x² (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. 2х - 1 In(4x² + 4x – 3) + In (3) + 2-x b 4x² + 4x – 3 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. x²dx 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. + ldx = 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. ds 1 - In svs: + 144 6. * x² + 8x – 4 x3 – 4x -dx = Inx + aln(x – a) – aln(x + a) + C 7. x+1 1 x² (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. 2х - 1 In(4x² + 4x – 3) + In (3) + 2-x b 4x² + 4x – 3 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. x²dx T - a (9+x²)² 15.
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