Integration - Integration of Exponential Functions

Integration - Integration of Exponential Functions

TGM Original Questions

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

  1. \({\displaystyle\displaystyle\int \frac{e^{2x} + 6}{e^{2x}} \ \mathrm{d}x}\)
  2. \({\displaystyle\displaystyle\int \frac{1 - e^{5-7x}}{e^{5-7x}} \ \mathrm{d}x}\)

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Answer:(a) \(x-3e^{-2x}+C\); (b) \(\dfrac17e^{7x-5}-x+C\)

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