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1 Given an analytic function $, f : mathbb{R} rightarrow mathbb{R}$ with no known closed formula for its antiderivative. Assume further that by some clever tricks you managed to calculate the definite integral for a fixed number $c$ : $$A := int_0^c f(t) ,dt ; .$$ Is there a way to calculate $int_0^c t , f(t) , dt$ in terms of $A$ , $f$ and $f^{(n)}$ ? Integration by parts yields $$int_0^c t , f(t) , dt = cA - int_0^c int_0^t , f(tau) , dtau ,dt ; ,$$ which made it seem plausible to me that such a formula exists. Related Question: This problem is an abstraction of my more concrete question asked here. integration definite-integrals analytic-functions share | cite | improve this question

0 Magento 1.9.1 Porto theme So many things happened to our existing Magento 1.9.1 and the existing hosting company is really bad that we decided to setup again on a new server. Initially, we were thinking to setup with Magento 2.3.1 (because our new host told us that Magento 2.3 is no good) but it doesn't look like that will come out any time soon. So we want to setup Magento 1.9.1 on the new hosting but keep the existing products and customers. My idea was to do a clean install (we have too many extensions on the old host that we no longer use anyway), then install and configure the same theme. Would it be possible to then EXPORT products and customers easily from the old hosting website and IMPORT it easily into the new hosting website? Is there anything I am missing? Any special considerations in regards to