Integration - Integration of Exponential Functions

Integration - Integration of Exponential Functions

TGM Original Questions

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

  1. \({\displaystyle\displaystyle\int e^{3x+2} \ \mathrm{d}x}\)
  2. \({\displaystyle\displaystyle\int \frac{(e^{4x}-e^x)^2}{e^x} \ \mathrm{d}x}\)

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Answer:(a) \(\dfrac13e^{3x+2}+C\); (b) \(\dfrac17e^{7x}-\dfrac12e^{4x}+e^x+C\)

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