Integral of $$$\frac{3 x + 2}{\sqrt{5 x^{2} + 6 x + 1}}$$$

The calculator will find the integral/antiderivative of $$$\frac{3 x + 2}{\sqrt{5 x^{2} + 6 x + 1}}$$$, with steps shown.

Find $$$\int \frac{3 x + 2}{\sqrt{5 x^{2} + 6 x + 1}}\, dx$$$.