Indefinite integrals of quotients where derivative appears as numerator

Indefinite integrals of quotients where derivative appears as numerator

IB Year 6 | Grade 12

Find

  1. \(\displaystyle \displaystyle \displaystyle\int \frac{3x}{x^2 + 1} \, \mathrm{d}x\);
  2. \(\displaystyle \displaystyle \displaystyle\int \tan x \, \mathrm{d}x\);
  3. \( \displaystyle \displaystyle \displaystyle\int x^2 \sqrt{2x^3 - 1} \, \mathrm{d}x\) .

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