Computing one of Victor Moll's irresistible integrals with computer algebra

Christoph Koutschan, Viktor Levandovskyy
2008 Computer Science Journal of Moldova  
We investigate a certain quartic integral from V. Moll's book "Irresistible Integrals" and demonstrate how it can be solved by computer algebra methods, namely by using non-commutative Gröbner bases. We present recent implementations in the computer algebra systems SINGULAR and MATHEMATICA.
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