1.. Compute the following integral using partial fractions decomposition: dx (x-3)(x-2) Start by making an explicit partial fractions decomposition "proposal" as shown in the lecture videos. Clear all denominators and solve for both undetermined coefficients by making substitutions for x rather than using the "coefficients of powers of .x" approach. Once the integrand is decomposed, the antiderivatives are quickly guessed in one step.
1.. Compute the following integral using partial fractions decomposition: dx (x-3)(x-2) Start by making an explicit partial fractions decomposition "proposal" as shown in the lecture videos. Clear all denominators and solve for both undetermined coefficients by making substitutions for x rather than using the "coefficients of powers of .x" approach. Once the integrand is decomposed, the antiderivatives are quickly guessed in one step.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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
Transcribed Image Text:1.. Compute the following integral using partial fractions decomposition:
dx
(x-3)(x-2)
Start by making an explicit partial fractions decomposition “proposal" as shown in the lecture videos. Clear all
denominators and solve for both undetermined coefficients by making substitutions for x rather than using the
"coefficients of powers of .x" approach. Once the integrand is decomposed, the antiderivatives are quickly guessed in
one step.
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