Answer to Question #176669 in Calculus for Joshua

Question #176669

Find the area of the region bounded by y=3-e^-x, the x-axis, x=2 and the y-axis.


1
Expert's answer
2021-04-29T17:52:32-0400

؞area=02(3ex)dx؞ area=∫_0^2(3-e^{-x} )dx

=[3x+ex]02=[3x+e^{-x} ]_0^2

=6+e2=6.135=6+e^{-2}=6.135 square units of length



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