Integration - Integration of Reciprocal Linear Functions

Integration - Integration of Reciprocal Linear Functions

TGM Original Questions

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

  1. \(\displaystyle\displaystyle\int \frac{1}{5x} \,\mathrm{d}x\)
  2. \(\displaystyle\displaystyle\int \frac{7}{2x-5} \,\mathrm{d}x\)

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Answer:(a) \(\dfrac15\ln\left|x\right|+C\); (b) \(\dfrac72\ln\left|2x-5\right|+C\)

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