Example 27 - Evaluate integrals: (i) 2->3 x^2 dx (ii) root x



  1. Chapter 7 Class 12 Integrals (Term 2)
  2. Serial order wise


Example 27 Evaluate the following integrals: (i) โˆซ_2^3โ–’๐‘ฅ^2 ๐‘‘๐‘ฅ Step 1 โˆซ1โ–’ใ€–๐‘ฅ^2 ๐‘‘๐‘ฅใ€—=(๐‘ฅ^(2 + 1) )/(2 + 1)=(๐‘ฅ^3 )/3 Hence F(๐‘ฅ)=๐‘ฅ^3/3 Step 2 โˆซ_2^3โ–’ใ€–๐‘ฅ^2 ๐‘‘๐‘ฅใ€—=๐น(3)โˆ’๐น(2) =3^3/3โˆ’2^3/3=27/3โˆ’8/3=๐Ÿ๐Ÿ—/๐Ÿ‘

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.