calculus

posted by .

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

  • calculus -

    I would assume the region is closed at the bottom by the x-axis.

    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

First Name
School Subject
Your Answer

Similar Questions

  1. 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 ?
  2. 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 ?
  3. calculus

    discuss the curves under the headings given in this section y=x/x-1
  4. Calculus (Area Between Curves)

    Find the area of the region bounded by the curves y^2=x, y-4=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
  5. Calculus

    Find the area of the region enclosed by the given curves: 4x+y^2=9, x=2y
  6. math-calculus 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.
  7. 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. 2y=4*sqrt(x) , y=5 and 2y+4x=8 please help! i've been trying this problem the last couple days, even …
  8. 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^2-x=1
  9. 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
  10. calculus 2

    Use a graph to find approximate x-coordinates 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, …

More Similar Questions