Definite Integration - By Formulae
Example 27 (i)
Ex 7.8, 3
Ex 7.8, 6
Ex 7.8, 2
Misc 28
Ex 7.8, 4 Important
Ex 7.8, 5
Ex 7.8, 7
Ex 7.8, 8 Important
Ex 7.8, 17 Important
Ex 7.8, 12
Ex 7.8, 18
Misc 35
Misc 36 Important
Ex 7.9, 2 Important
Ex 7.8, 20 Important
Ex 7.8, 9
Ex 7.8, 10
Ex 7.8, 21 (MCQ) Important
Ex 7.8, 22 (MCQ)
Ex 7.8, 14 Important
Ex 7.8, 19 Important
Ex 7.9, 10 (MCQ) Important
Ex 7.9, 8
Misc 33
Misc 37
Ex 7.9, 3 Important
Definite Integration - By Formulae
Last updated at Oct. 11, 2024 by Teachoo
Ex 7.8, 1 β«_(β1)^1β(π₯+1)ππ₯ Let F(π)=β«1β(π₯+1)ππ₯ =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