Check sibling questions

There are some standard substitutions, where we put value of x and solve it


Transcript

Sometimes while integrating, We get questions like โˆซ1โ–’โˆš(๐‘Ž^2โˆ’๐‘ฅ^2 ) ๐‘‘๐‘ฅ Now, how do we solve it? There are some standard substitutions, where we put value of x and solve it โˆš(๐‘Ž^2โˆ’๐‘ฅ^2 ) ๐‘ฅ=๐‘Ž ๐‘ ๐‘–๐‘›โก๐œƒ 1โˆ’ใ€–๐‘ ๐‘–๐‘›ใ€—^2โก๐œƒ=ใ€–๐‘๐‘œ๐‘ ใ€—^2โก๐œƒ โˆš(๐‘Ž^2+๐‘ฅ^2 ) ๐‘ฅ=๐‘Ž ๐‘ก๐‘Ž๐‘›โก๐œƒ 1+ใ€–๐‘ก๐‘Ž๐‘›ใ€—^2โก๐œƒ=ใ€–๐‘ ๐‘’๐‘ใ€—^2โก๐œƒ โˆš(๐‘ฅ^2โˆ’๐‘Ž^2 ) ๐‘ฅ=๐‘Ž ๐‘ ๐‘’๐‘โก๐œƒ ใ€–๐‘ ๐‘’๐‘ใ€—^2โก๐œƒโˆ’1=ใ€–๐‘ก๐‘Ž๐‘›ใ€—^2โก๐œƒ

  1. Chapter 2 Class 12 Inverse Trigonometric Functions
  2. Concept wise

About the Author

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