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Numerade Educator

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Problem 20 Easy Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{z^2}{z^3 + 1} \, dz $

Answer

$\frac{1}{3} \ln \left|z^{3}+1\right|+C$

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Video Transcript

We know that you iss cubed cost one Which means the Z square daisy is Do you divide by three which would be composed The constant 1/3. Multiply it by one over you, do you which gives us 1/3 comes natural log of you and I we can substitute you is C cubed plus one plus c.