web analytics

Ex 7.7, 11 - Integrate root x2 - 8x + 7 dx - Class 12 - Integration by specific formulaes - Formula 7

Slide25.JPG

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
Ask Download

Transcript

Ex7.7, 11 โˆซ1โ–’ใ€–โˆš(๐‘ฅ2 โˆ’8๐‘ฅ+7) " " ใ€— ๐‘‘๐‘ฅ 1/2 (x - 4)โˆš(๐‘ฅ2 โˆ’8๐‘ฅ+7) + 9 log |๐‘ฅโˆ’4+โˆš(๐‘ฅ2โˆ’8๐‘ฅ+7)| + C 1/2 (x + 4)โˆš(๐‘ฅ2 โˆ’8๐‘ฅ+7) + 9 log |๐‘ฅ+4+โˆš(๐‘ฅ2โˆ’8๐‘ฅ+7)| + C 1/2 (x - 4)โˆš(๐‘ฅ2 โˆ’8๐‘ฅ+7) - 3โˆš2 log |๐‘ฅโˆ’4+โˆš(๐‘ฅ2โˆ’8๐‘ฅ+7)| + C 1/2 (x - 4)โˆš(๐‘ฅ2 โˆ’8๐‘ฅ+7) + 9/2 log |๐‘ฅโˆ’4+โˆš(๐‘ฅ2โˆ’8๐‘ฅ+7)| + C โˆซ1โ–’ใ€–โˆš(๐‘ฅ^2โˆ’8๐‘ฅ+7) ๐‘‘๐‘ฅใ€— =โˆซ1โ–’ใ€–โˆš(๐‘ฅ^2โˆ’2(4)(๐‘ฅ)+7) ๐‘‘๐‘ฅใ€— =โˆซ1โ–’ใ€–โˆš(๐‘ฅ^2โˆ’2(4)(๐‘ฅ) ใ€–+(4)ใ€—^2โˆ’(4)^2+7) ๐‘‘๐‘ฅใ€— =โˆซ1โ–’ใ€–โˆš((๐‘ฅโˆ’4)^2โˆ’16+7) ๐‘‘๐‘ฅใ€— โˆด Option (D) is correct

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
Jail