Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

It is well known that many integrals have no closed form solutions, normally what you would do is solve them numerically.

My question is if there are algorithms that give you good closed form approximations instead.

share|cite|improve this question
If you can replace the integrand you're interested in with some function that is easy to integrate, and looks very much like the original integrand, then certainly... –  J. M. is back. May 4 '12 at 12:51

1 Answer 1

up vote 1 down vote accepted

You can write

$$f(x) = a_0x^{b_0} + a_1x^{b_1} + ... + o(x^{b_n})$$


$$\int f(x) dx = a_0\frac{x^{b_0+1}}{b_0+1} + a_1\frac{x^{b_1+1}}{b_1+1} + ... + o(x^{b_n+1})$$

(however be carefull with $b_k=-1$)

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.