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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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Question

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

sin 2x

Sum

Solution

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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Chapter 7: Integrals - Exercise 7.1 [Page 299]

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NCERT Mathematics [English] Class 12
Chapter 7 Integrals
Exercise 7.1 | Q 1 | Page 299

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