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Definite Integrals — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDefinite Integrals2 Marks
Question
Evaluate the following integrals:$\int\limits^{2}_1\log_\text{e}[\text{x}]\text{dx}$
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Answer

We have,$\text{I}=\int\limits^{2}_1\log_\text{e}[\text{x}]\text{dx}$
We know that,$[\text{x}]=1,\text{ when }1<\text{x}<2$
$\therefore\ \text{I}=\int\limits^{2}_1\log_\text{e}[\text{x}]\text{dx}$
$\text{I}=\int\limits^{2}_1(0)\text{dx}$
$\text{I}=0$

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