Indefinite integral of exponential functions

Indefinite integral of exponential functions

IB Year 6 | Grade 12

Let \(\mathrm{f}\) be a function, and \(C\) an arbitrary constant.

Indefinite integrals involving exponential functions
DifferentiationIntegration
\[\frac{\mathrm{d}}{\mathrm{d}x} (e^{\mathrm{f}(x)}) = e^{\mathrm{f}(x)} \mathrm{f}'(x)\]\[\displaystyle \displaystyle\int e^{\mathrm{f}(x)} \mathrm{f}'(x) \, \mathrm{d}x = e^{\mathrm{f}(x)} + C\]

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