Question

Find the area of the region bounded by the graphs:

y=x^2-4

y=x^4-4x^2

I set the equations equal to one another then solved for zero,
but I am stuck after getting x^4-5x^2+4

Answer #1

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

Sketch the region bounded by the graphs of the given equations.
y = 2^x, y = 2^-x, y = 0, x = −2, and x = 2 . Find the area of that
region.
EXACT ANSWER ONLY. A DECIMAL ANSWER WILL BE COUNTED INCORRECT.

Find the area of the region bounded by the graphs of the
equations. Use a graphing utility to verify your results. y = ex, y
= 0, x = 1, and x = 9

Find the Area bounded by the graphs of the indicated equations
over the interval [-2,1] y = x^2 – 1; y = x - 2

Find the area of the region bounded by the two functions f(x) =
x^2 − 4x and g(x) = 4x.

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

4. Find the area of the region bounded by the curve y = 4 − x 2
and the line y = x + 2.

Sketch the graphs for the parabolas whose equations are,
y = −x2 + 5x + 9 and y = x2 + 3x + 5
Find the area of the region bounded by the above two parabolas
in
the interval, −1 ≤ x ≤ 4.

The region bounded by y=2^x and y=4x-4 is rotated
about the line y=3. Find the volume of the resulting solid.

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