Which of the following integrals is most likely to require at least two iterations of…

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

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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