JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

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

, and

\int f(x) d x=\mathrm{A} \log |1-x|+\mathrm{B} x+\mathrm{C}

, then the ordered pair

(A, B)

is equal to :
(where

C

is a constant of integration)

View answer and explanation

Correct option: B

\left(-\frac{8}{3}, \frac{2}{3}\right)

Option B

\left(-\frac{8}{3}, \frac{2}{3}\right)

is correct because after finding f(x) and integrating, the coefficients A and B match these values.

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