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Question Number 167004 by qaz last updated on 04/Mar/22

$$\mathrm{calculate}::\underset{\mathrm{x}\to \sqrt{\pi }}{\lim }{\int }_{\sqrt{\pi }}^{\mathrm{x}}\frac{({\mathrm{x}}^2+\sqrt{\pi }\mathrm{t}){\mathrm{e}}^{{\mathrm{t}}^2}}{(\mathrm{x}-\sqrt{\pi })({\mathrm{x}}^2+\pi ){\mathrm{t}}^2\mathrm{lnt}}\mathrm{dt}=?$$

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