41. Given $f ( x ) = \left\{ \begin{array} { l l } x + 1 & \text { for } x < 0 , \\ \cos \pi x & \text { for } x \geq 0 , \end{array} \quad \int _ { - 1 } ^ { 1 } f ( x ) d x = \right.$\\
(A) $\frac { 1 } { 2 } + \frac { 1 } { \pi }$\\
(B) $- \frac { 1 } { 2 }$\\
(C) $\frac { 1 } { 2 } - \frac { 1 } { \pi }$\\
(D) $\frac { 1 } { 2 }$\\
(E) $\quad - \frac { 1 } { 2 } + \pi$\\
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