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Question: If 3f\(\left( \frac{2x + 3}{2x - 3} \right)\) = 2x – 3, then \(\int_{}^{}{f(x)dx}\) is equal to-...

If 3f(2x+32x−3)\left( \frac{2x + 3}{2x - 3} \right) = 2x – 3, then ∫f(x)dx\int_{}^{}{f(x)dx} is equal to-

A

ln(x – 1)2 + C

B

ln |(x – 1)3| + C

C

ln (x – 1)6 + C

D

ln |(x – 1)| + C

Answer

ln(x – 1)2 + C

Explanation

Solution

Let = t Ž x = 32\frac { 3 } { 2 }

\ f(t) = Ž ln(x – 1)2 + C