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∫ − 2 1 X + 7 D X

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Question

\[\int\limits_{- 2}^3 \frac{1}{x + 7} dx\]

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Solution

\[Let I = \int_{- 2}^3 \frac{1}{x + 7} d x . Then, \]
\[I = \left[ \log \left( x + 7 \right) \right]_{- 2}^3 \]
\[ \Rightarrow I = \log 10 - \log 5\]
\[ \Rightarrow I = \log \frac{10}{5} \left[ \because \log a - \log b = \log\frac{a}{b} \right]\]
\[ \Rightarrow I = \log 2\]

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Definite Integrals

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Chapter 19: Definite Integrals - Exercise 20.1 [Page 16]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12

Chapter 19 Definite Integrals
Exercise 20.1 | Q 2 | Page 16

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