Integration - Integration of Exponential Functions

Integration - Integration of Exponential Functions

TGM Original Questions

Integrate the following expressions with respect to \(x\).

\({\displaystyle\displaystyle\int \frac{e^{2x} - e^{5x} + 7}{e^{4x}} \ \mathrm{d}x}\)

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Answer:\(-\dfrac12e^{-2x}-e^x-\dfrac74e^{-4x}+C\)

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