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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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.
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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