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Evaluate the following: ∫log⁡𝑥𝑥.𝑑⁢𝑥

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प्रश्न

Evaluate the following: `int logx/x.dx`

योग
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उत्तर

Let I = `int logx/x.dx`

Put log x = t       

∴ `(1)/x.dx` = dt

∴ I = `int t.dt`

= `t^2/(2) + c`

= `(logx)^2/(2) + c`

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अध्याय 3: Indefinite Integration - Exercise 3.3 [पृष्ठ १३७]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 3 Indefinite Integration
Exercise 3.3 | Q 1.19 | पृष्ठ १३७

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