Has it been proven that there is no formula for analytic integration? Is this still open, could there be a formula?
Analytic integration formula?
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integration
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0I basically want to know if there is a proof that there is no such formula similar to the differentiation formula for analytic integration. – 2012-07-19
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I assume the question is "differentiation has formulas that you can just plug functions into to get your answer. Do these exist for integration?"
In which case the answer is no, though as previously stated the Risch algorithm gets you most of the cases where they do exist. Try solving $\int \sin(x^2)$, for example (but don't try too hard).
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0Thank you very much for the answer. – 2012-07-19