Integration with Chain Rule

U Substitution

An alternative way of finding more complex chain rule integrals is by using u substitution. In this instance we substitute terms of u in for a terms of x. Then we substitute in du for dx. Where du = u` and dx = x`. The next step is integrating the new equation. Lastly you substitute back in terms of x for terms of u.

For Example:

3.1   picture 
       picture               picture
       picture
       picture
       picture

3.2   picture
       picture               picture 
       picture
       picture
       picture

3.3   picture
       picture               picture
       picture
       picture

3.4   picture
       picture               picture
       picture
       picture