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Example 1 Write an anti derivative for each of the following functions using the method of inspection: (i) cos⁑2π‘₯ We know that (𝑠𝑖𝑛 π‘₯)^β€²=π‘π‘œπ‘  π‘₯ (π’”π’Šπ’ πŸπ’™)^β€²=𝒄𝒐𝒔 πŸπ’™ Γ— 2 (𝑠𝑖𝑛 2π‘₯)^β€²=2π‘π‘œπ‘  2π‘₯ (𝑠𝑖𝑛 2π‘₯)^β€²/2=π‘π‘œπ‘  2π‘₯ ∴ Anti Derivative of (cos 2x) is 𝟏/𝟐 (π’”π’Šπ’ πŸπ’™)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.