Example 1 - Chapter 7 Class 12 Integrals - Part 2



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


Example 1 Write an anti derivative for each of the following functions using the method of inspection: (ii) 3๐‘ฅ^2+4๐‘ฅ^3 We know that Adding (1) and (2) (๐‘ฅ^3 )^โ€ฒ+(๐‘ฅ^4 )^โ€ฒ=3๐‘ฅ^2+4๐‘ฅ^3 Hence Anti derivative of is ๐’™^๐Ÿ‘+๐’™^๐Ÿ’ (๐‘ฅ^3 )^โ€ฒ=3๐‘ฅ^( 3โˆ’1) (๐‘ฅ^3 )^โ€ฒ=3๐‘ฅ^2 Also, (๐‘ฅ^4 )^โ€ฒ=4๐‘ฅ^( 4โˆ’1) (๐‘ฅ^4 )^โ€ฒ=4๐‘ฅ^3

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Davneet Singh
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.