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प्रश्न

` ∫  log x / x  dx `
 
 
 
योग

उत्तर

\[\int\frac{\log x}{x}dx\]

\[Let, \log x = t\]

\[ \Rightarrow \frac{1}{x} = \frac{dt}{dx}\]

\[Now, \int\frac{\log x}{x}dx\]

 = ∫ t . dt

\[ = \frac{t^2}{2} + C\]

\[ = \frac{\left( \log x \right)^2}{2} + C\]

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अध्याय 19: Indefinite Integrals - Exercise 19.09 [पृष्ठ ५७]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 19 Indefinite Integrals
Exercise 19.09 | Q 1 | पृष्ठ ५७

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