हिंदी

Integrate the function in ex (sinx + cosx).

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प्रश्न

Integrate the function in ex (sinx + cosx).

योग
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उत्तर

Let `I = int e^x (sin x + cos x)  dx`

Put ex sin x = t

`=> (e^x cos x + e^x sin x) dx = dt`

`therefore e^x (sin x + cos x) dx = dt`

`therefore I = int dt = t + C`

`= e^x sin x + C`

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अध्याय 7: Integrals - Exercise 7.6 [पृष्ठ ३२८]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 7 Integrals
Exercise 7.6 | Q 16 | पृष्ठ ३२८

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