Question

find the area of the region bounded by the graph of y=x^3-2x^2-x+2 and y=3x^2-5x+2

Answer #1

Find the area of the region bounded by the graphs of the given
equations.
y=2x^2-9x+13, y=x^2+3x-7

Find the area of the indicated region.
between y=2x^2+6x-3 and y=-x^2+3x+3 for x in [-2,2]

Calculate the area of the surface bounded by y = x^3 and y =
−2x^2 + 3x
(area between curves)

1) Find the area of the region bounded by the curves y = 2x^2 −
8x + 12 and y = −2x + 12
a) Find the volume when the area in question 1 is revolved
around the x-axis.
b)Find the volume when the area in question 1 revolved around
the y-axis.

1. (a) Use the graph paper provided to sketch the region bounded
by the x-axis and the lines x + y = 4 and y = 3x.
(b) Shade the region you just drew above.
(c) Suppose that you were going to use Calculus to compute the
area of the shaded region in part (a) above. If you chose the
x-axis as your axis of integration, then how many integrals would
be needed to compute this area?
(d) Suppose that...

f(x) = −x^2 + 5x and g(x) = 3x − 3 Find the area of the region
completely enclosed by the graphs of the given functions f and
g.

Find the coordinates of the centroid of the region bounded by
y=12x^2 and y=3x^3. The region is covered by a thin flat plate.

1.Find the area of the region between the curves y= x(1-x) and y
=2 from x=0 and x=1.
2.Find the area of the region enclosed by the curves
y=x2 - 6 and y=3 between their
interaction.
3.Find the area of the region bounded by the curves
y=x3 and y=x2 between their interaction.
4. Find the area of the region bounded by y= 3/x2 ,
y= 3/8x, and y=3x, for x greater than or equals≥0.

Find the area of the region bounded by the parabola y = 1 + 2x -
x^2 and the parabola y = 1 + x^2. Please show the steps involved to
obtain the boundaries.
Please be legible and do not use cursive. Please show all work,
including ALL algebra. Thank you for your help!

1. Find the area of the region bounded by the graph of the
function f(x) = x4 − 2x2 + 8, the
x-axis, and the lines x = a and
x = b, where a < b and
a and b are the x-coordinates of the
relative maximum point and a relative minimum point of f,
respectively.
2.Evaluate the definite integral.
26
2
2x + 1
dx
0
3. Find the area of the region under the graph of f...

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