# Evaluate Integral 8X^2/(X^3+2)^3, Find The Integral 8X^3

**Evaluate Integral 8X^2/(X^3+2)^3, Find The Integral 8X^3**in

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Since the denominator is already factored into linear terms we can proceed directly with the partial fraction decomposition. We write,

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This gives us the equation

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First, we can find the values of and by evaluating at

and

, respectively. This gives us

Then using these values of and we evaluate at

and

(these are just convenient values, there isn’t anything special about them) to obtain the two equations

Solving these two equations we obtain

and

. Therefore, we have the following partial fraction decomposition:

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We can now evaluate the integral,

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**Integral**