Consider the following indefinite integral 46x - 12 dx. The integrand decomposes into the form d. ax + b+ X - 3 x+3 Compute the coefficients a, b, c and d. Evaluate the integral I. O A. a = 6, b = 2, c = 5, d = 3, 1 = 3x²+ 2x + 5 In|x - 3| + 3 In |x + 3| + C B. a = 6, b = 2, c= -5, d = 3, 1 = 3x2 + 2x + 5 In|x - 3| + 3 In |x + 3| +C C. a = 6, b = 2, c = 5, d = -3, I = 3x2 + 2x + 5 In|x - 3| - 3 In |x + 3| +C O D. a = 6, b = -2, c = 5, d = 3,1 = 3x² + 2x + 5 In|x - 3| + 3 In |x + 3| + C

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following indefinite integral
- ( 6x3 + 2x2 - 46x - 12
x2 - 9
dx.
The integrand decomposes into the form
ах + b +
x - 3
x +3
Compute the coefficients a, b, c and d. Evaluate the integral I.
A. a = 6, b = 2, c = 5, d = 3, 1 = 3x² + 2x + 5 In|x - 3| + 3 In |x+ 3| + C
B. a = 6, b = 2, c = -5, d = 3,1 = 3x2 + 2x + 5 In|x - 3| + 3 In |x + 3| + C
C. a = 6, b = 2, c = 5, d = -3, 1 = 3x2 + 2x + 5 In|x - 3| - 3 In |x + 3| + C
D. a = 6, b = -2, c = 5, d = 3, 1 = 3x² + 2x + 5 In|x - 3| +3 In |x + 3| + C
Transcribed Image Text:Consider the following indefinite integral - ( 6x3 + 2x2 - 46x - 12 x2 - 9 dx. The integrand decomposes into the form ах + b + x - 3 x +3 Compute the coefficients a, b, c and d. Evaluate the integral I. A. a = 6, b = 2, c = 5, d = 3, 1 = 3x² + 2x + 5 In|x - 3| + 3 In |x+ 3| + C B. a = 6, b = 2, c = -5, d = 3,1 = 3x2 + 2x + 5 In|x - 3| + 3 In |x + 3| + C C. a = 6, b = 2, c = 5, d = -3, 1 = 3x2 + 2x + 5 In|x - 3| - 3 In |x + 3| + C D. a = 6, b = -2, c = 5, d = 3, 1 = 3x² + 2x + 5 In|x - 3| +3 In |x + 3| + C
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