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प्रश्न

\[\int\frac{1}{x} \left( \log x \right)^2 dx\]

योग

उत्तर

\[\int\frac{1}{x}  \left( \log x \right)^2 dx\]

\[Let \log  x = t\]

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

\[Now, \int\frac{1}{x} \left( \log x \right)^2 dx\]

\[ = \int t^2 dt\]

\[ = \frac{t^3}{3} + C\]

\[ = \frac{\left( \log x \right)^3}{3} + C\]

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अध्याय 19: Indefinite Integrals - Exercise 19.09 [पृष्ठ ५८]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 19 Indefinite Integrals
Exercise 19.09 | Q 17 | पृष्ठ ५८

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