Evaluating Indefinite Integrals - Partial Fraction Decomposition Suppose we want to evaluate the following indefinite integral -53z2 + 982 + 172 da (x – 2)(7z + 12) Part 1. Use the method of partial fraction decomposition to re-write the integrand as the sum of simpler rational functions that can be easily antidifferentiated. -53z + 982 + 172 dz (z – 2)(7x + 12) Part 2. Evaluate the given indefinite integral by evaluating the integral you found in Part 1. above. -53 + 98æ + 172 dz (x – 2)(7x + 12)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Evaluating Indefinite Integrals - Partial Fraction Decomposition
Suppose we want to evaluate the following indefinite integral
-53z2 + 98r +172
dr
(z – 2)(7x +12)
Part 1.
Use the method of partial fraction decomposition to re-write the integrand as the sum of simpler rational functions that can be easily antidifferentiated.
-53r + 98z + 172
(z– 2)(7z+ 12)
%3|
Part 2.
Evaluate the given indefinite integral by evaluating the integral you found in Part 1. above.
-53z2 + 982 +172
dz
(x – 2)(7x+ 12)
Transcribed Image Text:Evaluating Indefinite Integrals - Partial Fraction Decomposition Suppose we want to evaluate the following indefinite integral -53z2 + 98r +172 dr (z – 2)(7x +12) Part 1. Use the method of partial fraction decomposition to re-write the integrand as the sum of simpler rational functions that can be easily antidifferentiated. -53r + 98z + 172 (z– 2)(7z+ 12) %3| Part 2. Evaluate the given indefinite integral by evaluating the integral you found in Part 1. above. -53z2 + 982 +172 dz (x – 2)(7x+ 12)
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