calculus
posted by bob .
What is the area under each of the given curves? y=e^x/2 ; x=0 x=1

I would assume the region is closed at the bottom by the xaxis.
area = ∫e^(x/2) dx from 0 to 1
= 2 e^(x/2)  from 0 to 1
= 2e^(1/2)  2e^0
= 2 e^(1/2)  2
Respond to this Question
Similar Questions

calculus
consider the area enclosed between the curves f (x) = x2 and g (x) = 4x what is the volume obtained by revolving the area between these two curves around the line y = 20 ? 
calculus
consider the area enclosed between the curves f(x)=x^2 and g(x)=4x what is the volume obtained by revolving the area between these two curves around the line y=20 ? 
calculus
discuss the curves under the headings given in this section y=x/x1 
Calculus (Area Between Curves)
Find the area of the region bounded by the curves y^2=x, y4=x, y=2 and y=1 (Hint: You'll definitely have to sketch this one on paper first.) You get: a.) 27/2 b.) 22/3 c.) 33/2 d.) 34/3 e.) 14 
Calculus
Find the area of the region enclosed by the given curves: 4x+y^2=9, x=2y 
mathcalculus 2
Consider the given curves to do the following. 64 y = x^3, y = 0, x = 4 Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 1. 
CalculusArea between curves
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4*sqrt(x) , y=5 and 2y+4x=8 please help! i've been trying this problem the last couple days, even … 
Calculus Area between curves
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 3y+x=3 , y^2x=1 
CALCULUS
Sketch the region enclosed by the given curves. y = 4/X y = 16x, y = 1X/16 x > 0 and the area between the curves 
calculus 2
Use a graph to find approximate xcoordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves. (Round your answer to two decimal places.) y = 8x^2− 3x, …