∫ Log ( Log X ) X D X - Mathematics

प्रश्न

\[\int\frac{\log \left( \log x \right)}{x} dx\]

योग

उत्तर

\[\int\frac{\log \left( \log x \right)}{x}dx\]
` "Taking log log x as the first function and "1/x "as the second function" . `
\[ = \text{ log }\log x\int\frac{1}{x}dx - \int\left\{ \frac{d}{dx} \text{ log }\left( \log x \right)\int\frac{1}{x}dx \right\}dx\]
\[ = \log x . \text{ log }\left( \log x \right) - \int\frac{1}{x \log x}\left( \log x \right)dx\]
\[ = \log x . \text{ log }\left( \log x \right) - \int\frac{1}{x}dx\]
\[ = \log x . \text{ log }\left( \log x \right) - \log x + C\]

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Indefinite Integral Problems

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

Q 10 Q 9 Q 11

अध्याय 19: Indefinite Integrals - Exercise 19.25 [पृष्ठ १३३]

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आरडी शर्मा Mathematics [English] Class 12

अध्याय 19 Indefinite Integrals
Exercise 19.25 | Q 10 | पृष्ठ १३३

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Indefinite Integral Problems

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