math (8)

Find the area of the region enclosed by these graphs and the vertical lines x = 3 and x = 5
f(x)=x^2+5 g(x)=1

  1. 👍 0
  2. 👎 0
  3. 👁 311
  1. ʃ (x^2+5)-1)dx

    ʃ (x^2+4)dx

    x^3/3 + 4x from 3 to 5
    5^3/3 +4(5) -(3^3/3 + 4(3))
    125/3 +20 -27/3 -12
    =122/3

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    4. Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed in the region enclosed by the graphs of f(x) = 18 – x^2 and g(x) = 2x^2 – 9.

  2. calculus

    Consider the following shaded region. Find the area S of this region if a = 6, b = 3. (Give an exact answer.) The two graphs intercept at 0 and the other limit is not given. The integral is int(ax-x^2)-(bx. So y=ax+x^2 is the

  3. 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

  4. calculus

    find the value of m so that the line y = mx divides the region enclosed by y = 2x-x^2 and the x-axis into two regions with equal area i know that the area enclosed by y=2x-x^2 is 4/3 so half of that would be 2/3 however, i have no

  1. 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 =

  2. calculus

    Sketch the region in the first quadrant enclosed by y=6/x, y=2x, and y=12x. Decide whether to integrate with respect to x or y. Then find the area of the region.

  3. math

    Find the area of the region enclosed between y=2sin(x) and y=3cos(x) from x=0 to x=0.7π. Hint: Notice that this region consists of two parts.

  4. math (9)

    Find the area of the region enclosed by these graphs and the vertical lines x = 0 and x = 3 f(x)=-x^2+2x+4 g(x)=-x+4

  1. Calculus

    Sketch the region enclosed by the curves x= 49-y^2 and x = y^2 - 49. Decide whether to integrate with respect to x or y. Then find the area of the region.

  2. 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,

  3. calc

    1. Let R be the region bounded by the x-axis, the graph of y=sqr(x) , and the line x=4 . a. Find the area of the region R. b. Find the value of h such that the vertical line x = h divides the region R into two regions of equal

  4. calculus

    Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed i nthe region enclosed by the graphs of f(x)=18-x^2 and g(x)=2x^2-9. Is it equal to about 67.67? I have no idea finding the

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