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

प्रश्न

Evaluate:

\int \frac{e \log \sqrt{x}}{x} d x

बेरीज

उत्तर

$\int \frac{e \log \sqrt{x}}{x} d x$
$= \int \frac{\sqrt{x}}{x} d x$
$= \int \frac{1}{\sqrt{x}} d x$
$= \int x^{- \frac{1}{2}} d x$
$= [\frac{x^{- \frac{1}{2} + 1}}{- \frac{1}{2} + 1}] + C$
$= 2 \sqrt{x} + C$

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Evaluation of Definite Integrals by Substitution

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Q 6 Q 5.2 Q 1

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

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आरडी शर्मा Mathematics [English] Class 12

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

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Evaluation of Definite Integrals by Substitution

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

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

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