What is the solution for f^'(x)= 9/(2sqrt(9x-5)) ?

The solution for f^'(x)= 9/(2sqrt(9x-5)) is f(x)=sqrt(9x-5)+c_{1}

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f^'(x)= 9/(2sqrt(9x-5))

f^{^{'}} (x) = \frac{9}{2 9 x - 5}

f (x) = 9 x - 5 + c_{1}

Solution steps

f^{'} (x) = \frac{9}{2 9 x - 5}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (x) = \int \frac{9}{2 9 x - 5} d x

\int \frac{9}{2 9 x - 5} d x = 9 x - 5 + c_{1}

f (x) = 9 x - 5 + c_{1}

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What is the solution for f^'(x)= 9/(2sqrt(9x-5)) ?
The solution for f^'(x)= 9/(2sqrt(9x-5)) is f(x)=sqrt(9x-5)+c_{1}