Definite Integration - By Formulae
Example 27 (i)
Ex 7.9, 3
Ex 7.9, 6
Ex 7.9, 2
Misc 29
Ex 7.9, 4 Important
Ex 7.9, 5
Ex 7.9, 7
Ex 7.9, 8 Important
Ex 7.9, 17 Important
Ex 7.9, 12
Ex 7.9, 18
Misc 37
Misc 38 Important
Ex 7.10, 2 Important
Ex 7.9, 20 Important
Ex 7.9, 9
Ex 7.9, 10
Ex 7.9, 21 (MCQ) Important
Ex 7.9, 22 (MCQ)
Ex 7.9, 14 Important
Ex 7.9, 19 Important
Ex 7.10, 10 (MCQ) Important
Ex 7.10, 8
Misc 35
Misc 39
Ex 7.10, 3 Important
Definite Integration - By Formulae
Last updated at Dec. 11, 2021 by Teachoo
Ex 7.9, 1 β«_(β1)^4β(π₯+1)ππ₯ Let F(π)=β«1β(π₯+1)ππ₯ =β«1βγπ₯ ππ₯γ +β«1βγ1 ππ₯γ =π₯^(1+1)/(1+1)+π₯ =π^π/π+π Hence F(π₯)=π₯^2/2+π₯ β«_(βπ)^πβ(π+π)π π =π(π)βπ(βπ) =((1)^2/2+1)β((β1)^2/2+(β1)) =(1/2+1)β(1/2β1) =1/2+1β1/2+1 = 1/2β1/2+1+1 = 2