# Definite Integral – A quotient of functions with absolute value on a symmetric interval – Exercise 6431

Exercise

Evaluate the integral

$$\int_{-1}^1 \frac{x{(|x|+1)}^7}{x^4+x^2+1} dx$$

$$\int_{-1}^1 \frac{x{(|x|+1)}^7}{x^4+x^2+1} dx=0$$