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Find an anti derivative (or integral) of the following function by the method of inspection. sin 2x - Mathematics

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प्रश्न

Find an anti derivative (or integral) of the following function by the method of inspection.

sin 2x

योग
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उत्तर

We know that,

`d/dx` cos 2x = - 2 sin 2x

or sin 2x = `-1/2 d/dx` cos 2x

∴ sin 2x = `"d"/"dx" (-1/2 cos 2x)`

Therefore, the antiderivative of sin 2x is `-1/2` cos 2x.

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अध्याय 7: Integrals - Exercise 7.1 [पृष्ठ २९९]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 7 Integrals
Exercise 7.1 | Q 1 | पृष्ठ २९९

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