Math, asked by Anonymous, 1 year ago

How to integrate a/1-a?

Answers

Answered by kkpc22803
1
let 1-a=t or a=1-t 
now dt=-da
using this  integration=  integr(1-t/t) -dt
= integration (1/t-1)(-dt)
-(logt-t)=t-logt
hence(1-a)-log(1-a)
Answered by kvnmurty
1
                a
integral  --------   da       Choose  1 - a  = x        Differentiate:  - d a  =  d x
              1 - a

Integral    (1 - x)
             ---------  (-dx)
               x

Integral  of  [ - 1/x  dx  + 1  dx ]

- Ln x + x   + C                where C is the integration constant

- Ln (1-a)  + 1 - a + C

-Ln (1 - a)  - a  + C

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