Given the piecewise function:

f$($x$)=\{$x$+1,$x$0$cosx$,$x$>0$f$($x$)=\backslash$begin$\{$cases$\}$ x $+1,$ & x $\backslash$leq $0\backslash \backslash \backslash$cos x$,$ & x $>0\backslash$end$\{$cases$\}$

evaluate the integral:

$10$f$($x$)$dx$.\backslash$int$\_\{-1\}^\{0\}$ f$($x$)\backslash ,$ dx$.$