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Integrate the function in x sin x. - Mathematics

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प्रश्न

Integrate the function in x sin x.

योग

उत्तर

Let `I = int x  sin x  dx`

`= x int sin x  dx - int [d/dx  (x) int sin x  dx] dx`

[Integration by Parts]

`= x (- cos x) - int 1 (- cos x) dx`

`= - x cos x + int cos x  dx`

`= - x cos x + sin x + C`

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अध्याय 7: Integrals - Exercise 7.6 [पृष्ठ ३२७]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 7 Integrals
Exercise 7.6 | Q 1 | पृष्ठ ३२७

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