Ex 7.4, 22 - Integrate x + 3 / x2 + 2x - 5 - Ex 7.4

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Ex 7.4, 22 Solving I1= 1 2 2 2 2 2 5 . Let 2 2 5= Diff both sides w.r.t.x 2 2 0= = 2 2 Thus, our equation becomes I1= 1 2 2 2 2 2 5 . Putting value of 2 2 5 = and = 2 2 I1= 1 2 2 2 . I1= 1 2 2 2 . 2 2 I1= 1 2 1 . I1= 1 2 log + 1 I1= 1 2 log 2 2 5 + 1 Now, taking I2 I2=4 1 2 2 5 . I2=4 1 2 2 1 5 . I2=4 1 2 2 1 + 1 2 1 2 5 . I2=4 1 1 2 1 2 5 . I2=4 1 1 2 1 5 . I2=4 1 1 2 6 . I2=4 1 1 2 6 2 . I2= 4 2 6 log 1 6 1 + 6 + 2 I2= 2 6 log 1 6 1 + 6 + 2 Putting the values of I1 and I2 in (1) + 3 2 2 5 . = 1 2 2 2 2 2 5 . + 4 2 2 5 . = 1 2 log 2 2 5 + 1+ 2 6 log 1 6 1 + 6 + 2 = + + +

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.