To be really confident with integration you must try mixed examples.

Example:

  1. \displaystyle\int {\dfrac{2}{{{x^2} - 1}}dx}

Example:

  1. \displaystyle\int {\sin 3x\cos 3x{\rm{ }}dx}

Example:

  1. \displaystyle\int {5{e^{4x}}} {\rm{ }}dx

Example:

  1. \displaystyle\int {3x{{(2x - 5)}^4}{\rm{ }}dx}

Example:

  1. \displaystyle\int {x\cos 7x{\rm{ }}dx}

Example:

  1. \displaystyle\int {\dfrac{{5x - 4}}{{{x^3}}}dx}