Check sibling questions

Ex 7.2, 23 - Integrate sin-1 x / root(1 - x2) - Class 12 - Integration by substitution - Trignometric - Inverse

Ex 7.2, 23 - Chapter 7 Class 12 Integrals - Part 2


Transcript

Ex 7.2, 23 sin^(โˆ’1)โก๐‘ฅ/โˆš(1 โˆ’ ๐‘ฅ^2 ) Step 1: Let sin^(โˆ’1)โก๐‘ฅ=๐‘ก Differentiating both sides ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ 1/โˆš(1 โˆ’ ๐‘ฅ^2 )= ๐‘‘๐‘ก/๐‘‘๐‘ฅ ๐‘‘๐‘ฅ=โˆš(1 โˆ’ ๐‘ฅ^2 ) .๐‘‘๐‘ก Step 2: Integrating the function โˆซ1โ–’ใ€–" " sin^(โˆ’1)โก๐‘ฅ/โˆš(1 โˆ’ ๐‘ฅ^2 ) " " ใ€—. ๐‘‘๐‘ฅ putting sin^(โˆ’1)โก๐‘ฅ=๐‘ก & ๐‘‘๐‘ฅ=โˆš(1 โˆ’ ๐‘ฅ^2 ) .๐‘‘๐‘ก = โˆซ1โ–’ใ€–๐‘ก/โˆš(1 โˆ’ ๐‘ฅ^2 ) " " ใ€—. โˆš(1 โˆ’ ๐‘ฅ^2 ) .๐‘‘๐‘ก = โˆซ1โ–’ใ€–๐‘ก . ๐‘‘๐‘กใ€— = ๐‘ก^2/2+๐ถ = (ใ€–๐’”๐’Š๐’ใ€—^(โˆ’๐Ÿ)โก๐’™ )^๐Ÿ/๐Ÿ+๐‘ช

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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.