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Integrate the function in ex (sinx + cosx). - Mathematics

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Question

Integrate the function in ex (sinx + cosx).

Sum

Solution

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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Chapter 7: Integrals - Exercise 7.6 [Page 328]

APPEARS IN

NCERT Mathematics [English] Class 12
Chapter 7 Integrals
Exercise 7.6 | Q 16 | Page 328

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