Ex 7.9, 14 - Direct Integrate 2x+3 / 5x2 + 1 dx from 0 to 4  - Ex 7.9

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex7.9, 14 โˆซ_0^4โ–’(2๐‘ฅ + 3)/(5๐‘ฅ2 + 1) dx โˆซ_0^1โ–’ใ€–(2๐‘ฅ + 3)/(ใ€–5๐‘ฅใ€—^2+ 1) ๐‘‘x=F(1)โˆ’F(0)ใ€— =1/5 ๐‘™๐‘œ๐‘”|5ใ€–ร—1ใ€—^2+1|+3/โˆš5 ใ€–๐‘ก๐‘Ž๐‘›ใ€—^(โˆ’1) (โˆš5 ๐‘ฅ) โˆ’[1/5 ๐‘™๐‘œ๐‘”|5ร—0+1|+3/โˆš5 ใ€–๐‘ก๐‘Ž๐‘›ใ€—^(โˆ’1) (โˆš5ร—0)] =1/5 |6|+3/โˆš5 ใ€–๐‘ก๐‘Ž๐‘›ใ€—^(โˆ’1) โˆš5โˆ’1/5 ๐‘™๐‘œ๐‘”1+3/5 ใ€–๐‘ก๐‘Ž๐‘›ใ€—^(โˆ’1) 0 =1/5 ๐‘™๐‘œ๐‘” 6+3/โˆš5 ใ€–๐‘ก๐‘Ž๐‘›ใ€—^(โˆ’1) โˆš5โˆ’1/5ร—0+3/5ร—0 =๐Ÿ/๐Ÿ“ ๐’๐’๐’ˆ ๐Ÿ”+๐Ÿ‘/โˆš๐Ÿ“ ใ€–๐’•๐’‚๐’ใ€—^(โˆ’๐Ÿ) โˆš๐Ÿ“

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