In this tutorial you are shown how to do integrals of the above form

Formulae to remember:

  • \displaystyle\int {\dfrac{f'(x)}{f(x)}} dx = \ln |f(x)| + c

Exercise: Check answers in the video after the short intro.

  1. \displaystyle\int {\dfrac{3}{x}{\rm{ }}dx}
  2. \displaystyle\int {\dfrac{4}{{4x - 3}}{\rm{ }}dx}
  3. 3 \displaystyle\int {\dfrac{{2x}}{{{x^2} + 5}}{\rm{ }}dx}
  4. \displaystyle\int {\dfrac{{8x^2}}{{2{x^3} - 1}}{\rm{ }}dx}
  5. \displaystyle\int {\dfrac{{x + 3}}{{{x^2} + 6x - 3}}{\rm{ }}dx}
  6. \displaystyle\int {\cot x{\rm{ }}dx}

Why the Modulus Sign?

Example showing the use of the modulus sign