Calc help

posted by .

find the area of the region enclosed by y=e^2x, y=e^5x, and x=1.

i am having trouble seeing how this region looks like and having problems with how to start the problem in general.
Much help is appreciated.

  • Calc help -

    Below assumes:
    y = e^2x means e^(2x)
    y = e^5x means e^(5x)

    The two curves (equations) intersect at x=0, y=1. Then, going in the positive x direction, they diverge. But, the right side of the region is bounded by a line at x=1.
    So, find the area from x = 0 to x = 1 under the curve y = e^(5x) then subtract the area under the curve y = e^(2x) from x = 0 to x = 1.

  • Calc help -

    Just to be clear, it is a vertical line at x=1.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calc volumes

    the basse of a solid S is the region enclosed by the graph of y=square root (ln x), the line x=e, and the x-axis. if the cross sections of S perpendicular to the x-axis are squares, then the volume of S is. how do i find the side of …
  2. Pre-Calculus

    I do not know how to work this problem: Find the area of the region between the graph of y=x^3 and the x-axis from x=1 to x=4. I am also having trouble with: Write -1-i in exponential form. Any help would be greatly appreciated.
  3. Calculus

    I'm having trouble with the following problem: Find the volume of the solid generated by revolving the region about the given line. The region is in the first quadrant bounded above by the line y= sqrt 2, below by the curve y=secxtanx, …
  4. Math- Calc

    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. y=e^(4x), y=e^(6x), x=1
  5. Calc 2: Area under the curve

    Find the area of the region enclosed between y=2sin(x and y=3cos(x) from x=0 to x=0.4pi Hint: Notice that this region consists of two parts. Notice: I'm getting 1.73762 but apparently that is wrong.
  6. pre-calc

    area of a rectangular region: a farmer wishes to create two rectangular regions bordering a river, by three fences perpendicular to the river and one connecting them. suppose that x represents the length of each of the three parallel …
  7. Calculus

    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=5x^(1/2) , y=4 and 2y+1x=6 I've been trying this problem for about 3 hours. Please help!!!!!
  8. math

    A rancher wishes to use 86 ft of fencing to enclose a rectangular paddock and subdivide the region into three smaller areas. If the total enclosed area is 225 ft2, find the dimensions of the enclosed region.
  9. Calculus AB: Area Between Curves

    Hello! I'm having trouble understanding how I'm supposed to work out this problem. Any help would be appreciated! Find the area of the region bounded by the curve y = f(x) = x3 – 4x + 1 and the tangent line to the curve y = f(x) …
  10. math

    use the method of cylindrical shells to find the volume generated by rotation the region bounded by x=y^2+1, x=2, about y=-2. Sketch the region, the solid, and a typical shell. I know that for shells, its 2pix*f(x)*dx. i am having …

More Similar Questions