Given the following integral and its partial fraction 3x3 - 4x2 - 20x dx =D A B + -+ 7 10. -4 dx = х2 х-2 dx x- 2 + + x3 - 2x2 x2 Find the integral. 7-Inl지 + -10 4 Inlx- 2| +C 3x3 7- Inlsl +10. - 4 + In/x - 2| +C 10 x²+x3 - 2x2 + 4x + C O7. Inlsl + -5 -4 - Inlx - 2| +C x2

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 018: Complete the following question involving Partial Fractions
Given the following integral and its partial fraction
Зх3 -4x2 - 20х
dx =
10
-4
+
dx =
dx
X- 2
- +-
+
x3 - 2x2
x2
X- 2
Find the integral.
-10
- 4 *
Inlx- 2 +C
+ xU *
3x3
-10
7 * Inx +
4 * In/x - 2| + C
O 7
x? +0x3 - 2x2 + 4x +C
-5
-4 *
x2
In/x - 2| +C
7 » In/x| +
Transcribed Image Text:Question 018: Complete the following question involving Partial Fractions Given the following integral and its partial fraction Зх3 -4x2 - 20х dx = 10 -4 + dx = dx X- 2 - +- + x3 - 2x2 x2 X- 2 Find the integral. -10 - 4 * Inlx- 2 +C + xU * 3x3 -10 7 * Inx + 4 * In/x - 2| + C O 7 x? +0x3 - 2x2 + 4x +C -5 -4 * x2 In/x - 2| +C 7 » In/x| +
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