Find the area of the infinite region in the first quadrant between the

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Find the area of the infinite region in the first quadrant between the curve y = e^-x and the x-axis. The area of the infinite region is. (Type an integer or a simplified fraction.)

$Find the area of the infinite region in the first quadrant between the curve y = e^-x and the x-axis. The area of the infinite region is. (Type an integer or a simplified fraction.)$

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Find the area of the infinite region in the first quadrant between the curve y = e^-x and the x-axis. The area of the infinite region is. (Type an integer or a simplified fraction.)

Explanation & Steps

First of all draw the curve of y = e^-x. Mark the bounded region between exponential curve and x-axis. Determine the appropriate limits of integration. Area of the bounded region can be determined by integrating y = e^-x with respect to 'x'.