Function Expression :
\[f(x)=\frac{ln(7x-3 )}{\sqrt{x}} \]Domain
\[\left]\frac{3}{7}, \infty\right[ \]Limits
\[ \]Derivate
\[ \]Integral
\[F(x) = \frac{98 x^{\frac{3}{2}} \log{\left(7 x - 3 \right)}}{49 x - 21} - \frac{196 x^{\frac{3}{2}}}{49 x - 21} - \frac{42 \sqrt{x} \log{\left(7 x - 3 \right)}}{49 x - 21} + \frac{84 \sqrt{x}}{49 x - 21} + \frac{28 \sqrt{21} x \log{\left(\sqrt{x} + \frac{\sqrt{21}}{7} \right)}}{49 x - 21} - \frac{14 \sqrt{21} x \log{\left(7 x - 3 \right)}}{49 x - 21} - \frac{12 \sqrt{21} \log{\left(\sqrt{x} + \frac{\sqrt{21}}{7} \right)}}{49 x - 21} + \frac{6 \sqrt{21} \log{\left(7 x - 3 \right)}}{49 x - 21} \]Sign Table
Variation Table
Plot
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