Math

How do I find the area of the region bounded by the curves y = e^x, y = e^-x, x= -2, and x = 1?

Even if you could just help me in getting started it would be a HUGE help.
Thanks!

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asked by Kara
  1. did you make a sketch?

    y = e^x and y = e^-x are reflections of each other in the y-axis, they intersect at (0,1)

    x=-2 and x=1 are two vertical lines, thus forming two distinct "bounded" regions, one in the second quadrant and a smaller one of similar shape in the first quadrant.

    So find the total area in two separate calculations.

    the one in the first quadrant would be

    ∫(e^x - e^-x)dx from 0 to 1 and the larger one would be
    ∫(e^-x - e^x)dx from -2 to 0

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    posted by Reiny

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