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MAC 2312 Name: Worksheet - Section 7.4 7.4: Integration of Rational Functions by Partial Fractions Directions: Work in your small group to complete this tutorial. Return the completed worksheet along with the homework exercises at the beginning of next class. All answers must be justified and work shown for full credit. Explanations should be written using complete sentences in the spaces provided. 1. Evaluate the integral using the partial fraction decomposition provided. (a) ? (x² + 1) / (x³ - x²) dx given that (x² + 1) / (x³ - x²) = -1/x - 1/x² + 2/(x - 1) (b) ? (x - 2) / (x? + x²) dx given that (x - 2) / (x? + x²) = 1/x - 2/x² + (-x + 2)/(x² + 1)

          MAC 2312
Name:
Worksheet - Section 7.4
7.4: Integration of Rational Functions by Partial Fractions
Directions: Work in your small group to complete this tutorial. Return the completed worksheet
along with the homework exercises at the beginning of next class. All answers must be justified and
work shown for full credit. Explanations should be written using complete sentences in the spaces
provided.
1. Evaluate the integral using the partial fraction decomposition provided.
(a) ? (x² + 1) / (x³ - x²) dx given that (x² + 1) / (x³ - x²) = -1/x - 1/x² + 2/(x - 1)
(b) ? (x - 2) / (x? + x²) dx given that (x - 2) / (x? + x²) = 1/x - 2/x² + (-x + 2)/(x² + 1)

$MAC 2312 Name: Worksheet - Section 7.4 7.4: Integration of Rational Functions by Partial Fractions Directions: Work in your small group to complete this tutorial. Return the completed worksheet along with the homework exercises at the beginning of next class. All answers must be justified and work shown for full credit. Explanations should be written using complete sentences in the spaces provided. 1. Evaluate the integral using the partial fraction decomposition provided. (a) ? (x² + 1) / (x³ - x²) dx given that (x² + 1) / (x³ - x²) = -1/x - 1/x² + 2/(x - 1) (b) ? (x - 2) / (x? + x²) dx given that (x - 2) / (x? + x²) = 1/x - 2/x² + (-x + 2)/(x² + 1)$

Added by Montserrat T.

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