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Numerade Educator



Problem 5 Easy Difficulty

Evaluate the integral by making the given substitution.

$ \displaystyle \int \frac{x^3}{x^4 - 5} \, dx $, $ u = x^4 - 5 $


$$\frac{1}{4} \ln \left|x^{4}-5\right|+C$$

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Video Transcript

okay, We know the problems Tools we can substitute you is extra The fourth minus five, which means that we get d'you we take the derivative is four x cubed DD X, which gives us X cube de axe is do you divide by four Which means pulling out the constant Remember, Constable, the constant out of ventricles we have thus and we know that we we know the integral one over you is natural log of you pussy Sonata Final step substitute back in Obviously we don't want you in the final answer and we have our solution.