$$\text { If the infinite curve } y = e ^ { - x } , x \geq 0 \text {, is rotated about the } x \text {-axis, find the area of the resulting surface. }$$

Name: \[\text { If the infinite curve } y = e ^ { - x } , x \geq 0 \text {, is rotated about the } x \text {-axis, find the area of the resulting surface. }\]
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The Answer of $$\text { If the infinite curve } y = e ^ { - x } , x \geq 0 \text {, is rotated about the } x \text {-axis, find the area of the resulting surface. }$$