Evaluate: ∫ E Log √ X X D X - Mathematics

प्रश्न

Evaluate:

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

योग

उत्तर

\[\int\frac{e\log\sqrt{x}}{x}dx\]
\[ = \int\frac{\sqrt{x}}{x}dx\]
\[ = \int\frac{1}{\sqrt{x}} dx\]
\[ = \int x^{- \frac{1}{2}} dx\]
\[ = \left[ \frac{x^{- \frac{1}{2} + 1}}{- \frac{1}{2} + 1} \right] + C\]
\[ = 2\sqrt{x} + C\]

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Evaluation of Definite Integrals by Substitution

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Q 6 Q 5.2 Q 1

अध्याय 19: Indefinite Integrals - Exercise 19.01 [पृष्ठ ४]

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आरडी शर्मा Mathematics [English] Class 12

अध्याय 19 Indefinite Integrals
Exercise 19.01 | Q 6 | पृष्ठ ४

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Evaluation of Definite Integrals by Substitution

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