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Example 1 Write an anti derivative for each of the following functions using the method of inspection: (i) cos⁡2𝑥 We know that (𝑠𝑖𝑛 𝑥)^′=𝑐𝑜𝑠 𝑥 (𝒔𝒊𝒏 𝟐𝒙)^′=𝒄𝒐𝒔 𝟐𝒙 × 2 (𝑠𝑖𝑛 2𝑥)^′=2𝑐𝑜𝑠 2𝑥 (𝑠𝑖𝑛 2𝑥)^′/2=𝑐𝑜𝑠 2𝑥 ∴ Anti Derivative of (cos 2x) is 𝟏/𝟐 (𝒔𝒊𝒏 𝟐𝒙)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo