These integrals turn up in subjects such as quantum field theory. of the integral is between A - E and A + E. WolframAlpha brings expert-level knowledge and capabilities to the broadest possible range of peoplespanning all professions and education levels. The n + p = 0 mod 2 requirement is because the integral from −∞ to 0 contributes a factor of (−1) n+ p/2 to each term, while the integral from 0 to +∞ contributes a factor of 1/2 to each term. Now were almost there: since u 1 - x2, x2 1 - u and the integral is. Explanation: xex2dx t x2 dt 2xdx dt 2 xdx ( et 2)dt 1 2(etdt) 1 2 et + C 1 2 ex2 + C.
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