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Evaluate the following : ∫logxx.dx - Mathematics and Statistics

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प्रश्न

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

योग

उत्तर

Let I = `int logx/x.dx`

Put log x = t       ∴ `(1)/x.dx` = dt

∴ I = `int t.dt`

= `(1)/(2)t^2 + c`

= `(1)/(2)(logx)^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] 12 Standard HSC Maharashtra State Board
अध्याय 3 Indefinite Integration
Exercise 3.3 | Q 1.19 | पृष्ठ १३७

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