Ex 7.2, 26 - Chapter 7 Class 12 Integrals (Important Question)

Last updated at Dec. 16, 2024 by Teachoo

Ex 7.2, 26 - Integrate cos root(x) / root x - Teachoo - Ex 7.2

Ex 7.2, 26 - Chapter 7 Class 12 Integrals - Part 2

Next: Ex 7.2, 35 → Share on WhatsApp

Transcript

Ex 7.2, 26 Integrate the function cos⁡√𝑥/√𝑥 Let √𝑥=𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 (1/2) 𝑥^(1/2 − 1)= 𝑑𝑡/𝑑𝑥 1/2. 𝑥^(− 1/2)= 𝑑𝑡/𝑑𝑥 1/(2√𝑥) = 𝑑𝑡/𝑑𝑥 𝑑𝑥 =2√𝑥 . 𝑑𝑡 𝑑𝑥 =2𝑡 . 𝑑𝑡 Integrating the function ∫1▒〖" " cos⁡√𝑥/√𝑥 " " 〗. 𝑑𝑥 Putting √𝑥=𝑡 & 𝑑𝑥=2𝑡 . 𝑑𝑡 = ∫1▒〖" " cos⁡𝑡/𝑡〗. 2𝑡 . 𝑑𝑡 = ∫1▒〖" " 2 cos⁡𝑡 〗. 𝑑𝑡 = 2∫1▒cos⁡𝑡 . 𝑑𝑡 = 2 sin⁡𝑡+𝐶 = 𝟐 𝒔𝒊𝒏⁡√𝒙+𝑪 (𝑈𝑠𝑖𝑛𝑔 𝑡=√𝑥)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular