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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

Final Answer


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

Solution

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