$[0\mathrm{.}34/1$ Points$]$

SCALCET$95\mathrm{.}5\mathrm{.}005.$EP$.2/10$ Submissions Used

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Consider the following integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x^3}{x^4-4}dx$

Given the substitution $u=x^4-4,$ find $du.$

$du=(,)dx$

Rewrite the given integral in terms of $u.$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(,)du$

Evaluate the integral by making the given substitution. $($Remember to use absolute values where appropriate. Use $C$ for the constant of integration.$)$

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