Integration - Integration of Power Functions

Integration - Integration of Power Functions

TGM Original Questions

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

  1. \({\displaystyle\displaystyle\int \sqrt[3]{(9+3x)^5} \ \mathrm{d}x}\)
  2. \({\displaystyle\displaystyle\int \frac{7}{3(x+10)^4} \ \mathrm{d}x}\)

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Answer:(a) \(\dfrac18(9+3x)^{8/3}+C\); (b) \(-\dfrac{7}{9(x+10)^3}+C\)

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