Integration Full Chapter Explained - Integration Class 12 - Everything you need
Ex 7.2, 7 - Chapter 7 Class 12 Integrals
Last updated at Dec. 20, 2019 by Teachoo
Transcript
Ex 7.2, 7 Integrate the function: π₯β(π₯+2) π₯β(π₯+2) Step 1: Let (π₯+2)=π‘ Differentiating both sides π€.π.π‘.π₯ 1+0 = ππ‘/ππ₯ 1= ππ‘/ππ₯ ππ₯=ππ‘ Step 2: Integrating the function β«1βγ" " π₯β(π₯+2)γ .ππ₯ Putting the value of π₯+2 & ππ₯ . = β«1βγπ₯βπ‘γ .ππ₯ = β«1βγπ₯βπ‘γ .ππ‘ = β«1βγ(π‘β2) βπ‘γ .ππ‘ = β«1βγ(π‘β2) π‘^(1/2) γ .ππ‘ = β«1β(π‘.π‘^(1/2)β2.π‘^(1/2) ) .ππ‘ = β«1β(π‘^(3/2)β2.π‘^(1/2) ) .ππ‘ = β«1βπ‘^(3/2) .ππ‘ β 2β«1βπ‘^(1/2) .ππ‘ (Using π₯+2=π‘, π₯=π‘β2) = π‘^(3/2 + 1)/(3/2 + 1) β 2 . π‘^(1/2 + 1)/(1/2 + 1) + πΆ = π‘^(5/2)/(5/2) β 2 . π‘^(3/2)/(3/2) + πΆ = 2/5 π‘^(5/2) β 2 Γ 2/3 π‘^(3/2) + πΆ = 2/5 π‘^(5/2) β 4/3 π‘^(3/2) + πΆ Putting back π‘=π₯+2 = π/π (π+π)^(π/π) β π/π (π+π)^(π/π) + πͺ (Using β«1βπ₯^π . ππ₯=π₯^(π+1)/(π +1) )
Ex 7.2
Ex 7.2, 1
Ex 7.2, 2
Ex 7.2, 3 Important
Ex 7.2, 4
Ex 7.2, 5
Ex 7.2, 6
Ex 7.2, 7 Important You are here
Ex 7.2, 8
Ex 7.2, 9
Ex 7.2, 10
Ex 7.2, 11 Important
Ex 7.2, 12
Ex 7.2, 13
Ex 7.2, 14 Important
Ex 7.2, 15
Ex 7.2, 16
Ex 7.2, 17
Ex 7.2, 18
Ex 7.2, 19 Important
Ex 7.2, 20 Important
Ex 7.2, 21
Ex 7.2, 22
Ex 7.2, 23
Ex 7.2, 24
Ex 7.2, 25
Ex 7.2, 26 Important
Ex 7.2, 27
Ex 7.2, 28
Ex 7.2, 29
Ex 7.2, 30
Ex 7.2, 31
Ex 7.2, 32 Important
Ex 7.2, 33 Important
Ex 7.2, 34 Important
Ex 7.2, 35
Ex 7.2, 36 Important
Ex 7.2, 37 Important
Ex 7.2, 38 Important
Ex 7.2, 39 Important
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.