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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Evaluate: ∫logxdx - Mathematics and Statistics

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प्रश्न

Evaluate:

`int log x dx`

मूल्यांकन
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उत्तर

Let `I = int log x dx`

= `int log x * 1 dx`

`I = log x int 1 dx - int [int 1 dx * d/dx (log x)] dx`

= `(log x) (x) - int [x * 1/x] dx`

= `x log x - int 1 dx`

∴ I = x log x − x + c

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