Given dy$/$dx $=($x$+1)/($x$2+2$x$+2),$ the curve y that passes through the point $(-1,1)$ is:

Question $2$ options:

I $=(0\mathrm{.}5)$ln$($x$2+2$x$+2)$

I $=(0\mathrm{.}5)$ln$($x$2+2$x$+2)+1$

I $=(0\mathrm{.}5)($x$2+2$x$+2)+1$

I $=$ ln$($x$2+2$x$+2)+1$