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find-lim-x-1-x-x-2-ln-t-t-1-2-dx-




Question Number 111760 by mathmax by abdo last updated on 04/Sep/20
find lim_(x→1^+ )    ∫_x ^x^2    ((ln(t))/((t−1)^2 ))dx
$$\mathrm{find}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{1}^{+} } \:\:\:\int_{\mathrm{x}} ^{\mathrm{x}^{\mathrm{2}} } \:\:\frac{\mathrm{ln}\left(\mathrm{t}\right)}{\left(\mathrm{t}−\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$

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