Question

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

Answer #1

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 region bounded by the graph of f(x) = 4x^3 +
4x + 9 and the x axis between x=0 and x=2 using Riemann sums.

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

What is the area of the region bounded by the
functions y=x^2 and x=y^2?

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

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...

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.

Compute the area of the region bounded by the curves
f(x)=1/x+2,g(x)=(x+2)^2 and the lines x=-3/2 and x=1

Find the area of the region bounded by the curves x+y^2= 2 and
x+y=0

5. Find the area bounded by the curves: two x = 2y - y^2 ; x =
0.
6. Find the surface area of the solid of revolution generated
by rotating the region along the x-axis. bounded by the curves: ? =
2?; y = 0 since x = 0 until x = 1

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