Let x \neq \frac{-3}{5}, \frac{2}{5}, if f(\frac{2 x+1}{5 x+3})=x+2, then \int f(x) d x=

Correct Answer is : 75x−125log|5x−2|+c

\frac{7}{5} x-\frac{1}{5} \log |5 x+3|+c

\frac{7}{5} x-\frac{1}{25} \log |5 x+3|+c

\frac{7}{5} x-\frac{1}{25} \log |5 x-2|+c

\frac{7}{5} x-\frac{1}{5} \log |5 x-2|+c

TS EAMCET 18-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 74 of 160

Marks: +1, -0

Let x≠‌

−3

,‌

, if f(‌

2x+1

5x+3

)=x+2, then ∫f(x)dx=

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