AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!
Integrals involving ax² + bx + c:
In order to solve these type of integrals, complete the square of the quadratic equation, then the previous methods can be used to solve the integrals.
ex.
completing the square of x2 + 4x + 8 gives (x + 2)2 + 4
The integral becomes:
Substitute:
x + 2 = 2 tan q
dx = 2 sec q dq
Solve the integral, just like the previous example.
We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.
For general help, questions, and suggestions, try our dedicated support forums.
If you need to contact the Course-Notes.Org web experience team, please use our contact form.
While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!
