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3 ∫ 2 1 X D X

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Question

\[\int\limits_2^3 \frac{1}{x}dx\]
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Solution

\[\int_2^3 \frac{1}{x} d x\]
\[ = \left[ \log_e x \right]_2^3 \]
\[ = \log_e 3 - \log_e 2\]
\[ = \log_e \left( \frac{3}{2} \right)\]

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Chapter 19: Definite Integrals - Very Short Answers [Page 115]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 19 Definite Integrals
Very Short Answers | Q 23 | Page 115

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