Calc AB

What is the area of the region in the first quadrant enclosed by the graph of y=e^(x^2/4) and the line y=0.5?

When I graphed the two functions they don't even connect so the answer would be infinity. What am I doing wrong>

Integrate y=e^(x^2/4) from x=0 to the point where e^(x^2/4) = 0.5. Call that x-coordinte X.
You may need a table of the error function to do the integration.
Then subtract 0.5 X from the integral. That is the area below the y=0.5 line.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Let R be the region in the first quadrant enclosed by the graph of f(x) = sqrt cosx, the graph of g(x) = e^x, and the vertical line pi/2, as shown in the figure above. (a) Write. but do not evaluate, an integral expression that

  2. calculus

    1. Let R be the region in the first quadrant enclosed by the graphs of y=4-X , y=3x , and the y-axis. a. Find the area of region R. b. Find the volume of the solid formed by revolving the region R about the x-axis.

  3. calculus

    R is the first quadrant region enclosed by the x-axis, the curve y = 2x + a, and the line x = a, where a > 0. Find the value of a so that the area of the region R is 18 square units.

  4. Calculus

    Let R be the region in the first quadrant under the graph of y=1/sqrt(x) for 4

  1. Calculus AB...I really need help

    The region in the first quadrant enclosed by the coordinates axes, the line x=pi, and the curve y= cos(cosx) is rotated about the x-axis. What is the volume of the solid generated.

  2. Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Enclosed by y = x^2 − 4x + 1 and y = −x^2

  3. calculus

    Let R be the region in the first quadrant that is enclosed by the graph of y = tanx, the x-axis, and the line x = π/3 h. Find the area of R i. Find the volume of the solid formed by revolving R about the x-axis

  4. calculus

    R is the first quadrant region enclosed by the x-axis, the curve y = 2x + b, and the line x = b, where b > 0. Find the value of b so that the area of the region R is 288 square units.

  1. Calculus

    If 0

  2. AP Calculus

    Let R be the first quadrant region enclosed by the graph of y= 2e^-x and the line x=k. a) Find the area of R in terms of k. b) Find the volume of the solid generated when R is rotated about the x-axis in terms of k. c) What is the

  3. Calculus

    Let f be the function given by f(x)=(x^3)/4 - (x^2)/3 - x/2 + 3cosx. Let R be the shaded region in the second quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line

  4. calculus

    Sketch the region enclosed by the curves x=64−y^2 and x=y^2−64. Decide whether to integrate with respect to x or y. Then find the area of the region. Area =

You can view more similar questions or ask a new question.