Chapter 7 Class 12 Integrals
Concept wise

Ex 7.8, 10 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by

Ex 7.8, 10 - Direct Integrate dx / root 1 + x2 from 0 to 1 - Ex 7.8

part 2 - Ex 7.8, 10 - Ex 7.8 - Serial order wise - Chapter 7 Class 12 Integrals

Remove Ads

Transcript

Ex 7.8, 10 ∫_0^1▒𝑑π‘₯/(1 + π‘₯2) Let F(π‘₯)=∫1▒𝑑π‘₯/(1 + π‘₯^2 ) =∫1β–’1/(1^2 + π‘₯^2 ) 𝑑π‘₯ =1/1 .tan^(βˆ’1)⁑(π‘₯/1) =tan^(βˆ’1) π‘₯ Hence F(π‘₯)=tan^(βˆ’1) π‘₯ Now, ∫_0^1▒〖𝑑π‘₯/(1 + π‘₯^2 )=𝐹(1)βˆ’πΉ(0) γ€— =tan^(βˆ’1)⁑〖(1)βˆ’tan^(βˆ’1)⁑(0) γ€— =πœ‹/4βˆ’0 =𝝅/πŸ’

Davneet Singh's photo - Co-founder, Teachoo

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