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Integrate the function in x sin x.

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Question

Integrate the function in x sin x.

Sum
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Solution

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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Chapter 7: Integrals - Exercise 7.6 [Page 327]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 7 Integrals
Exercise 7.6 | Q 1 | Page 327

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