Mathematics

Mathematics

Problem

Which of the following integrals possesses an antiderivative that can be written solely with elementary functions? a) ∫sin⁡(x2) dx\displaystyle \int \sin(x^{2})\,dx b) ∫e−x2 dx\displaystyle \int e^{-x^{2}}\,dx c) ∫ln⁡xx dx\displaystyle \int \dfrac{\ln x}{x}\,dx d) ∫sin⁡xx dx\displaystyle \int \dfrac{\sin x}{x}\,dx

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