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23-09-2016
Mathematics

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What is the antiderivative of 4/e^4x?

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konrad509 konrad509

23-09-2016

[tex]\displaystyle F=\int \dfrac{4}{e^{4x}}\, dx\\ F=4 \int e^{-4x}\, dx\\ F=4 \cdot\left(-\dfrac{1}{4}e^{-4x}\right)+C\\ F=-e^{-4x}+C[/tex]

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