MathAnalysisCalculusIntegrals

U-substitution

Differential of x

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If $u$ is defined as

$u= \ln(3x+3)$

What is $dx$ ?

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dx = \frac{du}{u + 1}

dx = \frac{3u+3}{du}

dx = \frac{1}{3} e^u \ du

dx = \frac{3e^u}{3} du

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