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Integration
Page 3
Questions (1,044)
Revolve the region bounded by y = 4x and y = x^2 about the y-axis. In cubic units, the resulting volume is
4 answers
asked by
Beth
1,758 views
Find the volume of the solid formed by rotating the region enclosed by
y=e^(5x) , \ y=0, \ x=0, \ x=0.8 around the y-axis Please
5 answers
asked by
bobby
4,687 views
Integrate: y/sqrt(2y+1) dx
5 answers
asked by
mathstudent
2,018 views
Find the exact area between y=lnx and y=ln(x^ 2 ) for 4≤x≤8 .
4 answers
asked by
george
2,602 views
Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, x=0.4 about the x-axis.
4 answers
asked by
Brit
3,791 views
1. Find the volume V obtained by rotating the region bounded by the curves about the given axis.
y = sin(x), y = 0, π/2 ≤ x
4 answers
asked by
Anonymous
4,516 views
Find the length of the curve correct to four decimal places. (Use a calculator to approximate the integral).
r(t) = (cos π t,
6 answers
asked by
#1
2,810 views
integral (4x^2-3x+2)/(4x^2-4x+3) dx
4 answers
asked by
Anonymous
2,159 views
Sketch the region enclosed by the curves given below. Decide whether to integrate with respect to x or y. Then find the area of
4 answers
asked by
Kevin
3,316 views
Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by
y = x^3 y = 16 x about the
5 answers
asked by
Corey
2,546 views
Evaluate the function below from x = 1 up to x = 4.
∫(7−lnx(x)(3+lnx))dx
5 answers
asked by
Kevin
1,230 views
Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.
y = 9 - 9x^2 , y = 0 Find the
4 answers
asked by
Tina
4,409 views
Use cylindrical shells to find the volume formed by rotating the region in the first quadrant enclosed by: y=1.2-1.4|x-12| and
4 answers
asked by
Naomi
2,704 views
The velocity v(t)= -t^2 + 6t - 8, find the displacement and distance traveled during the time interval [-1,5]?
4 answers
asked by
Z32
3,246 views
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Use C for the constant of
4 answers
asked by
melissa
3,065 views
A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 80 ft is given by the
4 answers
asked by
COFFEE
1,351 views
If the integral from a to b of f(x)dx=a+2b then integral from a to b of (f(x)+3)dx= ?
The answer: 5b-2a How do I get to that
4 answers
asked by
Katie
5,050 views
Find the area bounded by the given curves y= 7cos(x) and y=7cos^2(x) between x=0 and x= π/2.
6 answers
asked by
love
1,638 views
Use washers to find the volume formed by rotating the region enclosed by:
y=1.4−2|x−13| and y=0 about the y-axis
4 answers
asked by
Naomi
2,677 views
The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x^2. Cross sections of the solid
5 answers
asked by
Ke$ha
4,805 views
Find the arc length of one arch of the sine curve.
I started it by doing y=sinx, y'=cosx arc length= integral of sqrt(1+cos^2x)dx
4 answers
asked by
Anon
1,215 views
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the?
Use the method of
4 answers
asked by
John
2,910 views
Find the area of a shaded region whose bounded by equations x = y^2 - 4y, x = 2y - y^2, over the point (-3,3). Based on the
4 answers
asked by
Quay
2,761 views
Consider the area between the graphs x+2y=4 and x+4=y2. This area can be computed
in two different ways using integrals 1)
4 answers
asked by
Troye
2,866 views
Find the area under the curve y=5(cosx) and above y=5(sinx) for 0<x<pi
4 answers
asked by
Sully
2,768 views
The Average value of f(x)=25−x^2 on the interval [0,1] is 74/3
Find a value c in the interval [0,1] such that f(c) is equal to
4 answers
asked by
Aishah
1,620 views
Consider the curve defined by the equation y = 4x^3 +3x. Set up an integral that represents the length of curve from the point
3 answers
asked by
Sam
1,588 views
Find the area of the indicated region: Between y = x2 − 5x + 3 and y = −x2 + 5x − 5 for x in [0, 4].
I keep ending up with
4 answers
asked by
Amanda
520 views
Consider the area between the graphs x+y=16 and x+4= (y^2). This area can be computed in two different ways using integrals.
Firs
4 answers
asked by
bobby
3,716 views
Let M be the region under the graph of f(x) = 3/e^x from x=0 to x=5.
A. Find the area of M. B. Find the value of c so that the
4 answers
asked by
Anonymous
2,224 views
The functions f and g are given by f(x)=sqrt(x^3) and g(x)=16-2x. Let R be the region bounded by the x-axis and the graphs of f
3 answers
asked by
Anonymous
1,753 views
The velocity function is v(t)=t^2-5t+6 for a particle moving along a line. Find the displacement of the particle during the time
4 answers
asked by
Anon.
2,653 views
Let R be the region bounded by y = 1/x, the lime x = 1, the line x = 3 and the x-axis. The line x = k divides R into two regions
4 answers
asked by
Liz
1,886 views
A curve y has gradient Dy/dx=3x^2-6x+2a)if the curve passes through the origin find it equation b)Find the area of the finite
4 answers
asked by
POPPY
1,196 views
_______ data would be useful for creating a weekly status report for your manager that should reflect changes in real time.
A.
4 answers
asked by
LEE
1,403 views
The function f is continuous on the closed interval [1,7] and has values in the table below
x f(x) 1 10 4 30 6 40 7 20 Usinf the
4 answers
asked by
Katie
3,054 views
You are given the four points in the plane A=(−1,−8), B=(4,5),C=(8,−2), and D=(12,2). The graph of the function f(x)f(x)
2 answers
asked by
Anonymous
790 views
Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.
integral
4 answers
asked by
Susan
2,099 views
Evaluate the integral by interpreting it in terms of areas.
int_(0)^(9) (7/2x - 21)dx can someone please help me with this
4 answers
asked by
eddy
1,653 views
graph y=cos(pi*x/2) and y=1-x^2 and use integration to find the area in between the curve.
Okay, so when I graph these two I see
4 answers
asked by
Bethany
2,444 views
The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of
4 answers
asked by
christina
3,297 views
Find the area of the curve y = 1/(x^3) from x = 1 to x = t and evaluate it for t = 10, 100, and 1000. Then find the the total
4 answers
asked by
Alyssa
1,053 views
A population of rabbits starts off at time = 0 with 225 rabbits and increases at a rate of r(t) rabbits per month, where t is in
6 answers
asked by
Sarah
1,722 views
Find the centroid of the area in the first quadrant bounded by the curve y=e^-x and the axes and the ordinate x=ln5
4 answers
asked by
Elizabeth
2,057 views
Find the distance traveled by a particle with position (x, y) as t varies in the given time interval.
x = cos^2 t, y = cos t, 0
3 answers
asked by
rob
1,723 views
A particle moves in a straight line with velocity given by v(t) =sin t metres per second. Find the total distance travelled by
3 answers
asked by
jenna
1,996 views
integrate log base 10 x / x dx
i don't understand this
3 answers
asked by
kevin
1,433 views
I have the function f(x) = cos(x) on the interval from 0 to pi and I need to comput the Fourier sine series.
I have the integral
5 answers
asked by
Neutral
770 views
Set up, but do not evaluate, a definite integral representing the volume of the
solid formed by revolving the region of the plane
3 answers
asked by
ii
564 views
Find the area between the graph of f(x)= x(e^-x^2) and the x-axis for the interval (0, ∞). Your work must include the proper
3 answers
asked by
Alice
1,870 views
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