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How do you solve this question?

How do you solve this question?-example-1
User Ralismark
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1 Answer

4 votes

Answer:


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

Explanation:

Hello,

for any real x different from 1


(3-2x)/(1-x)=(2-2x+1)/(1-x)\\\\=(2(1-x)+1)/(1-x)\\\\=2(1-x)/(1-x)+(1)/(1-x)\\\\=2+(1)/(1-x)

if f(x)=2x

f'(x)=2

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


g'(x)=(-1*-1)/(1-x)=(1)/(1-x)

So antiderivative of


(3-2x)/(1-x)=2+(1)/(1-x)

Is

2x-ln(1-x)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

User Dmitry Rotay
by
8.4k points

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