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2 ∫ 1 Log E [ X ] D X .

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प्रश्न

\[\int\limits_1^2 \log_e \left[ x \right] dx .\]
योग
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उत्तर

\[\text{We have}, \]
\[I = \int\limits_1^2 \log_e \left[ x \right] dx\]
\[\text{We know that}, \]
\[\left[ x \right] = 1\text{, when }1 < x < 2\]
\[ \therefore I = \int\limits_1^2 \log_e 1 dx\]
\[I = \int\limits_1^2 \left( 0 \right) dx\]
\[ = 0\]

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अध्याय 19: Definite Integrals - Very Short Answers [पृष्ठ ११६]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 19 Definite Integrals
Very Short Answers | Q 43 | पृष्ठ ११६

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