Mathematics

Mathematics

Problem

Which of the following integrals is most likely to require at least two iterations of a product-based antiderivative technique before all terms can be evaluated? a) ∫xex2 dx\displaystyle \int x e^{x^{2}}\,dx b) ∫x2ex dx\displaystyle \int x^{2} e^{x}\,dx c) ∫xex dx\displaystyle \int x e^{x}\,dx d) ∫ln⁡x dx\displaystyle \int \ln x\,dx

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