Area of the region bounded by the curve $y = e ^ { x }$ and lines $x = 0$ and $y = e$ is (A) $e - 1$ (B) $\int _ { 1 } ^ { e } \ln ( e + 1 - y ) d y$ (C) $e - \int _ { 0 } ^ { 1 } e ^ { x } d x$ (D) $\int _ { 1 } ^ { e } \ln y \, d y$
(C) and (D)
Area of the region bounded by the curve $y = e ^ { x }$ and lines $x = 0$ and $y = e$ is
(A) $e - 1$\\
(B) $\int _ { 1 } ^ { e } \ln ( e + 1 - y ) d y$\\
(C) $e - \int _ { 0 } ^ { 1 } e ^ { x } d x$\\
(D) $\int _ { 1 } ^ { e } \ln y \, d y$