Find ∫ (cos 2 ⁡ 2x - sin 2 ⁡ 2x) dx
CBSE Class 12 Sample Paper for 2020 Boards
CBSE Class 12 Sample Paper for 2020 Boards
Last updated at Dec. 16, 2024 by Teachoo
Question 18 (OR 2nd Question) Find ∫1 (cos2 2x - sin2 2x) dx We know that 𝑐𝑜𝑠2𝑥=cos^2𝑥−sin^2𝑥 Therefore, 𝑐𝑜𝑠4𝑥=cos^22𝑥−sin^22𝑥 So, our integration becomes ∫1 (cos^22𝑥−sin^22𝑥) dx = ∫1 cos4𝑥 dx = 𝐬𝐢𝐧𝟒𝒙/𝟒+𝑪