Find ∫ (cos 2 ⁡ 2x - sin 2 ⁡ 2x) dx

Find Integral (cos^2⁡ 2x - sin^2⁡ 2x) dx - Teachoo - CBSE Class 12 Sam

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Question 18 (OR 2nd Question) Find ∫1 (cos2⁡ 2x - sin2⁡ 2x) dx We know that 𝑐𝑜𝑠⁡2𝑥=cos^2⁡𝑥−sin^2⁡𝑥 Therefore, 𝑐𝑜𝑠⁡4𝑥=cos^2⁡2𝑥−sin^2⁡2𝑥 So, our integration becomes ∫1 (cos^2⁡2𝑥−sin^2⁡2𝑥) dx = ∫1 cos⁡4𝑥 dx = 𝐬𝐢𝐧⁡𝟒𝒙/𝟒+𝑪

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.