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Lecture

# 7.4 Integration of Rational Functions by Partial Fractions Question #1 (Easy)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
7.4 Integration Techniques Partial Fractions for Rational Functions Question #1 (Easy): Decompose Rational Function into Partial Fractions Strategy Rational function with factorable denominator can be decomposed into partial fractions. Combining partial fractions reverses the process and result in the original rational function. Step 1: factor the denominator. Step 2: write partial fractions with unknown coefficients at numerator. Step 3: solve for the coefficients. Sample Question Write the function into partial fraction decomposition. Solution The denominator can be factored: ( ) ( )( ) . This means the given function can be decomposed into 3 partial fractions: . Combine the
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