Mathematics: Lionardo melly true to his name, Sweate a lot. Ores after an intense gameof tool hall, he com home and look along,warm bath in his bathtuch the got a callfrom the mother who wanted him to toidhave inediately, Messy left his home nahurry and forget to drain the bathtub. Now,Incidentally, there was one single midantbacterium in the bathtub when he got out.and this bacterium multiplies in a waythod that its numbers double every day.Assuming that lishardo got back home.ze days later and found he bathtubfilled

Step-by-step explanation:Hello,for any real x different from 1if f(x)=2x f (x)=2if g(x)=-ln(1-x) So antiderivative of Is2x-ln(1-x)Hope this helps. Do not hesitate if you need further explanation. Thank you...

Lionardo melly true to his name, Sweate a lot.

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dontcareanyonemo

30.01.2020

Mathematics

$\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }$

Step-by-step explanation:

Hello,

for any real x different from 1

$\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}$

if f(x)=2x

f'(x)=2

if g(x)=-ln(1-x)

$g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}$

So antiderivative of

$\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}$

2x-ln(1-x)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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