Engineering Handbook/Calculus/Integration/irrational functions

Integrals involving Assume , for , see next section: Here , where the positive value of is to be taken. Integrals involving Integrals involving Assume (ax2 + bx + c) cannot be reduced to the following expression (px + q)2 for some p and q. (Click "show" at right to see a proof or "hide" to hide it.) First use substitution with so that , and the integral becomes Then make another substitution with so that the integral becomes The integral then has the form as given above and can be readily evaluated. One can also perform the substitutions in a single step with the less apparent choice , giving Integrals involving