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Evaluate the integral.

$ \displaystyle \int z^3 e^z dz $

$I_{1}=z^{3} e^{z}-3\left(z^{2} e^{z}-2 z e^{z}+2 e^{z}-2 C_{1}\right)=z^{3} e^{z}-3 z^{2} e^{z}+6 z e^{z}-6 e^{z}+C,$ where $C=6 C_{1}$

Integration Techniques

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