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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.