Solution
= Solution
With the <change of variables> $u=3+2x$, $du=2\,dx$, an <antiderivative> is
$$
\boxed{\int\frac{dx}{\sqrt{3+2x}}=\sqrt{3+2x}+C,\qquad x>-\frac32.}
$$
Here $C$ is the <constant of integration>.
= Solution
With the <change of variables> $u=3+2x$, $du=2\,dx$, an <antiderivative> is
$$
\boxed{\int\frac{dx}{\sqrt{3+2x}}=\sqrt{3+2x}+C,\qquad x>-\frac32.}
$$
Here $C$ is the <constant of integration>.