Engineering Handbook/Calculus/Integration/irrational functions
Integrals involving edit
Assume , for , see next section:
Here , where the positive value of is to be taken.
Integrals involving edit
Integrals involving edit
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