# How do you find the definite integral of #(x^4 - 1)/( x^2 + 1) dx# from -5 to -2?

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To find the definite integral of ( \frac{x^4 - 1}{x^2 + 1} ) from -5 to -2, you can perform polynomial long division or use partial fraction decomposition. After decomposition, integrate each term separately. Then evaluate the integral at the upper limit and subtract the value of the integral at the lower limit. The result is the definite integral of the function over the given interval.

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