JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

f\left(\frac{3 x-4}{3 x+4}\right)=x+2

, then

\int f(x) d x

is equal to

View answer and explanation

Correct option: B

-\frac{8}{3} \log _e|1-x|+\frac{2}{3} x+C

Option B (

\frac{{-8}}{{3}} \log _e|1-x|+\frac{{2}}{{3}} x+C

) is correct because it is the result of integrating f(x) after finding the expression for f(x).

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f\left(\frac{4}{25}\right)

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{f}\left(\frac{1}{2}\right)=2

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{C}

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