Learn Intergation from Davneet Sir - Live lectures starting soon!
Ex 7.5, 16 - Chapter 7 Class 12 Integrals (Term 2)
Last updated at Aug. 20, 2021 by Teachoo
Ex 7.5
Ex 7.5, 1
Ex 7.5, 2
Ex 7.5, 3 Important
Ex 7.5, 4
Ex 7.5, 5
Ex 7.5, 6 Important
Ex 7.5, 7 Important
Ex 7.5, 8
Ex 7.5, 9 Important
Ex 7.5, 10
Ex 7.5, 11 Important
Ex 7.5, 12
Ex 7.5, 13 Important
Ex 7.5, 14 Important
Ex 7.5, 15
Ex 7.5, 16 Important You are here
Ex 7.5, 17
Ex 7.5, 18 Important
Ex 7.5, 19
Ex 7.5, 20 Important
Ex 7.5, 21 Important
Ex 7.5, 22 (MCQ)
Ex 7.5, 23 (MCQ) Important
Chapter 7 Class 12 Integrals
Serial order wise
Transcript
Ex 7.5, 16 1 +1 [Hint: multiply numerator and denominator by xn 1 and put xn = t] We can write integrand as 1 + 1 = 1 + 1 1 1 = 1 + 1 = 1 + 1 Let t = Then = 1 Therefore 1 + 1 = 1 + 1 . 1 = 1 n + 1 We can write the integrand as 1 + 1 = + + 1 1 + 1 = + 1 + + 1 By cancelling denominator 1 = + 1 + Putting t = 0 in (1) 1 = 0+1 + 0 1 = = 1 Similarly putting t = 1 in (1) 1 = 1+1 + 1 1 = 0 1 = = 1 Therefore we can write 1 + 1 = 1 1 + 1 Thus, + 1 = 1 1 + 1 = log log +1 + C = log + 1 + Putting back t = 1 + 1 = + +
