Ex 7.9, 12
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex7.9, 12 0 𝑥2𝑐𝑜𝑠2 𝑥 𝑑𝑥 Step 1 :- Let F 𝑥= 𝑐𝑜 𝑠2 𝑥 𝑑𝑥 = cos2𝑥 + 12 𝑑𝑥 = 12 𝑐𝑜𝑠 2𝑥 𝑑𝑥+ 12 𝑑𝑥 = 12 × 𝑠𝑖𝑛 2𝑥2+ 𝑥2 = 14 𝑠𝑖𝑛 2𝑥+ 𝑥2 Hence , F 𝑥= 14𝑠𝑖𝑛 2𝑥+ 𝑥2 Step 2 :- 0 𝜋2𝑐𝑜 𝑠2 𝑥=𝐹 𝜋2−𝐹 0 = 14𝑠𝑖𝑛 2 × 𝜋2+ 𝜋22− 14𝑠𝑖𝑛 2× 02− 02 = 14𝑠𝑖𝑛 𝜋+ 𝜋4− 14 sin0 −0 = 14 ×0+ 𝜋4− 14 ×0−0 = 𝝅𝟒
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.