Ques1) If f (3x-4 / 3x+4 ) = x+2 then show that ∫ f(x) dx is -8/3 log 3 |1-x| + 2/3 x +c
Ques2) If ∫ x log (1 +1/x) dx = f(x) ln (x+1) + g(x) ln x^2 +Lx +c, then choose the correct alternative/s
(a)f(x) = x^2 /2 (b)g(x) = ln x
(c)L=1 (d)L=1/2
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3 Answers
Lokesh Verma
·2009-09-09 07:24:43
3x-4/3x+4 = t
then find x =4/3 (t+1)/(t-1)
Now question 1 is done :)