Explanation The partial function decomposition is = ∫ x − 1 2 ( x 2 + 1 ) + 1 2 ( x + 1 ) d x = ∫ x − 1 2 ( x 2 + 1 ) d x + ∫ 1 2 ( x + 1 ) d x ∫ x − 1 2 ( x 2 + 1 ) d x = 1 2 × ∫ x − 1 x 2 + 1 d x x − 1 x 2 + 1 = x x 2 + 1 − 1 x 2 + 1 = 1 2 ( ∫ x x 2 + 1 d x − ∫ 1 x 2 + 1 d x ) ∫ x x 2 + 1 d x =

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Author: Jon Rogawski, Colin Adams

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Chapter 8.5, Problem 34E

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To find out the evaluate the integral $\int \frac{x^{2}}{(x + 1) (x^{2} + 1)} d x$

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Chapter 8.5, Problem 33E

Chapter 8.5, Problem 35E

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Chapter 8 Solutions

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Ch. 8.1 - Prob. 1PQ Ch. 8.1 - Prob. 2PQ Ch. 8.1 - Prob. 3PQ Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E

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