∫ − 2 1 X + 7 D X - Mathematics

प्रश्न

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

उत्तर

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

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Definite Integrals

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

Q 2 Q 1 Q 3

पाठ 20: Definite Integrals - Exercise 20.1 [पृष्ठ १६]

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आरडी शर्मा Mathematics [English] Class 12

पाठ 20 Definite Integrals
Exercise 20.1 | Q 2 | पृष्ठ १६

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