Ex 7.4, 5 - Chapter 7 Class 12 Integrals

Last updated at May 29, 2018 by Teachoo

Integration Full Chapter Explained - https://you.tube/Integration-Class-12

Ex 7.4, 5 - Integrate 3x / 1 + 2x4 - Chapter 7 Class 12 - Integration by specific formulaes - Formula 3

Transcript

Ex 7.4, 5 3𝑥/(1 + 2𝑥4) Let 𝑥^2=𝑡 Differentiating both sides 2𝑥=𝑑𝑡/𝑑𝑥 𝑑𝑥=𝑑𝑡/2𝑥 Integrating the function 𝑤.𝑟.𝑡.𝑥 ∫1▒(3𝑥 )/(1 + 2𝑥^4 ) 𝑑𝑥 =∫1▒3𝑥/(1 + 2(𝑥^2 )^2 ) 𝑑𝑥 Putting value of 𝑥^2=𝑡 and 𝑑𝑥=𝑑𝑡/2𝑥 =∫1▒3𝑥/(1 + 2𝑡^2 ) 𝑑𝑥 =∫1▒3𝑥/(1 + 2𝑡^2 )×𝑑𝑡/2𝑥 =3/2 ∫1▒𝑑𝑡/(1 + 2𝑡^2 ) =3/2 ∫1▒𝑑𝑡/2(1/2 + 𝑡^2 ) =3/(2 . 2) ∫1▒𝑑𝑡/(1/2 + 𝑡^2 ) =3/4 ∫1▒𝑑𝑡/(𝑡^2 + 1/2). 𝑑𝑡 =3/4 ∫1▒𝑑𝑡/(𝑡^2 +(1/√2)^2 ). 𝑑𝑡

Ex 7.4

Ex 7.4, 5 You are here

Ex 7.5 →

Chapter 7 Class 12 Integrals

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.