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

Exercise

Evaluate the integral

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

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