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Definite Integral – A rational function with absolute value on symmetric interval – Exercise 6601

Exercise

Evaluate the integral

\int_{-1}^1 \frac{x^3+|x^3|}{x^2-4} dx

Final Answer


\int_{-1}^1 \frac{x^3+|x^3|}{x^2-4} dx=1+4\ln 3-8\ln 2

Solution

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