Get live Maths 1-on-1 Classs - Class 6 to 12
Ex 7.9, 17 - Chapter 7 Class 12 Integrals (Term 2)
Last updated at March 16, 2023 by Teachoo
Ex 7.9
Ex 7.9, 1
Ex 7.9, 2
Ex 7.9, 3
Ex 7.9, 4 Important
Ex 7.9, 5
Ex 7.9, 6
Ex 7.9, 7
Ex 7.9, 8 Important
Ex 7.9, 9
Ex 7.9, 10
Ex 7.9, 11 Important
Ex 7.9, 12
Ex 7.9, 13
Ex 7.9, 14 Important
Ex 7.9, 15
Ex 7.9, 16 Important
Ex 7.9, 17 Important You are here
Ex 7.9, 18
Ex 7.9, 19 Important
Ex 7.9, 20 Important
Ex 7.9, 21 (MCQ) Important
Ex 7.9, 22 (MCQ)
Chapter 7 Class 12 Integrals
Serial order wise
Transcript
Ex 7.9, 17 β«_0^(π/4)β(2 sec^2β‘π₯+π₯^3+2) ππ₯ Let F(π₯)=β«1βγ(2 sec^2β‘γπ₯+π₯^3+2γ ) ππ₯γ =2β«1βγsec^2β‘γπ₯ ππ₯γ+β«1βγπ₯^3 ππ₯+β«1βγ2 ππ₯γγγ =2 tanβ‘γπ₯+π₯^4/4+2π₯γ Hence F(π₯)=2 tanβ‘γπ₯+π₯^4/4+2π₯γ Now, β«_0^(π/4)βγ(2π ππ^2 π₯+π₯^3+2)ππ₯=πΉ(π/4)βπΉ(0) γ =[2π‘ππ π/4+(π/4)^4/4+2 π/4]β[2π‘ππ(0)+(0)^4/4+2 Γ0] =2π‘ππ π/4+π^4/4^4 Γ 1/4+π/2β[2Γ0+0+0] =2 Γ1+π^4/4^5 +π/2β0 =π+π ^π/ππππ+π /π
