JEE MAIN - Mathematics Hindi (2018 - 15th April Morning Slot - No. 19)

यदि $$f\left(\frac{x-4}{x+2}\right)=2 x+1,(x \in \mathrm{R}-\{1,-2\})$$ है, तो $$\int f(x) \mathrm{d} x$$ बराबर है :

( जहाँ $$\mathrm{C}$$ एक समाकलन अचर है)

$$12 \log _{\mathrm{e}}|1-x|+3 x+\mathrm{C}$$
$$-12 \log _{e}|1-x|-3 x+C$$
$$12 \log _{\mathrm{e}}|1-x|-3 x+\mathrm{C}$$
$$-12 \log _{\mathrm{e}}|1-x|+3 x+\mathrm{C}$$

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