Integration - Definite Integral

Integration - Definite Integral

Evaluate the following

  1. \(\displaystyle\displaystyle \displaystyle\int_{1}^{6} 3x - 1 \, \mathrm{d}x\)
  1. \(\displaystyle\displaystyle \displaystyle\int_{2}^{4} \frac{3}{x^4} + 1 \, \mathrm{d}x\)
  1. \(\displaystyle\displaystyle \displaystyle\int_{1}^{6} \sqrt{x + 3} \, \mathrm{d}x\)

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Answer:(a) \(\frac{95}{2}\) (b) \(\frac{135}{64}\) (c) \(\frac{38}{3}\)

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