Question

Find the area of the region between the graphsoff(x) = x2+ 2x + 2 and g(x) = 2x2+ 5x -8You must show a rough sketch, show the algebra for how you found the intersections, then use Alg/Calc to integrate and find the area.

Answer #1

Find the area of the region bounded between the functions f(x)=
x2 – 2x + 2 and g(x) = -x2 + 6.

Find the area of the region between the graphs of f(x) = 3x3 −
x2 − 10x and g(x) = −x2 + 2x.

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. Between y
= 2x2 + 5x − 1 and y = −x2 + 2x + 5 for x in [−2, 2]
27/2
Incorrect: Your answer is incorrect.

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!

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

1. Find the Area of the region bounded by the graphs of
y=2x and y=x2-4x
a) Sketch the graphs, b) Identify the region, c) Find where the
curves intersect, d) Draw a representative rectangle, e) Set up the
integral, and f) Find the value of the integral.

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

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 two functions f(x) =
x 2 − 2x and g(x) = 2x.

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. Between y
= x2 − 5x + 2 and y = −x2 + 5x − 6 for x in [0, 4]

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