Question

Find the area of the shaded region. (sorry, the picture size was too big to post on here) The x-y coordinate plane is given. There are two curves, a vertical line, and a shaded region on the graph. The first curve, labeled y = 7xe^2, enters the window in the third quadrant, goes up and right becoming more steep, passes through the origin, and exits the window in the first quadrant. The second curve, labeled y = 7e^x, enters the window in the second quadrant, goes up and right becoming steeper, crosses the y-axis at y = 7, crosses the first curve at the point (1, 7e), and exits the window in the first quadrant. The vertical line begins at the origin on the first curve, goes up, and ends at the point (0, 7) on the second curve. The region is above the first curve, below the second curve, and to the right of the vertical line.

          Find the area of the shaded region.
(sorry, the picture size was too big to post on here)
The x-y coordinate plane is given. There are two curves, a vertical line, and a shaded region on the graph.
The first curve, labeled y = 7xe^2, enters the window in the third quadrant, goes up and right becoming more steep, passes through the origin, and exits the window in the first quadrant.
The second curve, labeled y = 7e^x, enters the window in the second quadrant, goes up and right becoming steeper, crosses the y-axis at y = 7, crosses the first curve at the point (1, 7e), and exits the window in the first quadrant.
The vertical line begins at the origin on the first curve, goes up, and ends at the point (0, 7) on the second curve.
The region is above the first curve, below the second curve, and to the right of the vertical line.

Added by Bobby W.

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