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Chapter 7 Class 12 Integrals
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Example 9 (ii) - Find the following integrals (ii) dx / 3x2-13x + 10 Chapter 7 Class 12 CBSE NCERT Math - Integration by specific formulaes - Formula 1

Example 9 (ii) - Chapter 7 Class 12 Integrals - Part 2
Example 9 (ii) - Chapter 7 Class 12 Integrals - Part 3 Example 9 (ii) - Chapter 7 Class 12 Integrals - Part 4


Transcript

Example 9 Find the following integrals: (ii) 3 2 13 + 10 3 2 13 + 10 Solving denominator 3 2 +13 10 =3 2 + 13 3 10 3 =3 2 +2. 13 6 10 3 Adding and subtracting 13 6 2 =3 2 +2. 13 6 + 13 6 2 10 3 13 6 2 =3 + 13 6 2 10 3 169 36 =3 + 13 6 2 10 3 + 169 36 =3 + 13 6 2 120 + 69 36 =3 + 13 6 2 189 36 =3 + 13 6 2 17 6 2 Hence, our equation becomes 3 2 13 + 10 = 1 3 + 13 6 2 17 6 2 = 1 3 1 2 17 6 log + 13 6 17 6 + 13 6 + 17 6 + C = 1 3 6 2 17 log 6 + 13 17 6 6 +13 + 17 6 + C = 1 17 log 6 4 6 + 30 + C = 1 17 log 2(3 2) 6( + 5) + C = 1 17 log 2(3 2) 6( + 5) + C = 1 17 log (3 2) 3( + 5) + C = 1 17 log (3 2) ( + 5) 1 17 log 3 + C = ( ) ( + ) + C1

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.