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Integrate the function in ex(1x-1x2). - Mathematics

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प्रश्न

Integrate the function in `e^x (1/x - 1/x^2)`.

योग

उत्तर

Let `I = inte^x (1/x - 1/x^2)  dx`

`= int e^x {1/x + [d/dx (1/x)]}  dx`

`= e^x xx 1/x + C = e^x/x + C`       `...[∵ int e^x (f (x)+ f' (x)) dx = e^x f (x) + C]`

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अध्याय 7: Integrals - Exercise 7.6 [पृष्ठ ३२८]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 7 Integrals
Exercise 7.6 | Q 19 | पृष्ठ ३२८

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