1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. 2)Set up, but
106,277 results
calculus
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 ≤ π; about the x−axis 2. Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 3

CalculusArea between curves
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4*sqrt(x) , y=5 and 2y+4x=8 please help! i've been trying this problem the last couple days, even asked a TA for help,

Calculus
Find the number b such that the line y = b divides the region bounded by the curves y = x2 and y = 4 into two regions with equal area.

Calculus
Find the area of the region bounded by the curves y = sin x, y = csc^2x, x = pi/4, and x = (3pi)/4.

calculus
1. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = ln(5x), y = 1, y = 3, x = 0; about the yaxis 2. Use the method of cylindrical shells to find the volume V generated by rotating the

calculus review please help!
1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. 2)Set up, but do not evaluate, the integral which gives

calc
Find the centroid of the region bounded by the given curves. y = 2 sin 3x, y = 2 cos 3x, x = 0, x = π/12

Calculus
Find the number b such that the line y = b divides the region bounded by the curves y = 4x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)

calc
Find the area of the region bounded by the curves y equals the inverse sine of x divided by 4, y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.

Calculus (Area Between Curves)
Find the area of the region IN THE FIRST QUADRANT (upper right quadrant) bounded by the curves y=sin(x)cos(x)^2, y=2xcos(x^2) and y=44x. You get: a.)1.8467 b.) 0.16165 c.) 0.36974 d.) 1.7281 e.) 0.37859

calculus
Find the number b such that the line y = b divides the region bounded by the curves y = 16x2 and y = 9 into two regions with equal area. (Round your answer to two decimal places.)

Calculus
Find the number a such that the line x = a divides the region bounded by the curves x = y^2 − 1 and the yaxis into 2 regions with equal area. Give your answer correct to 3 decimal places.

calculus 2
Use a graph to find approximate xcoordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves. (Round your answer to two decimal places.) y = 8x^2− 3x, y = x^3−8x+ 2

Calculus (Area Between Curves)
Find the area of the region bounded by the curves y^2=x, y4=x, y=2 and y=1 (Hint: You'll definitely have to sketch this one on paper first.) You get: a.) 27/2 b.) 22/3 c.) 33/2 d.) 34/3 e.) 14

Calculus Help Please Urgent!!!
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x^2, y = 5x, x ≥ 0; about the xaxis V = ??? Sketch the region

Calculus
Find the area of the region bounded by the curves of y=sin^1(x/4), y=0, and x=4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. I am really confused on this question. I graphed all of the

Calculus
Let f be the function given by f(x)=(x^3)/4  (x^2)/3  x/2 + 3cosx. Let R be the shaded region in the second quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line tangent to the graph of f at

calculus
Consider the curves y = x^2and y = mx, where m is some positive constant. No matter what positive constant m is, the two curves enclose a region in the first quadrant.Without using a calculator, find the positive constant m such that the area of the region

calculus
Find the area bounded by {y=x2−4 y=4−x2 • sketch the region described • determine any intersection point(s) for the curves (show work!!) • write out the integral(s) that will calculate the area • determine the area (may use a calculator)

Calculus ll  Volumes
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=e^(x), y=1, x=2; about y=2.

calculus
Find the area of region bounded by the curves y=sin(pi/2*x)and y=x^22x.

Calculus
Find the area of the region bounded by the curves y=12x^2 and y=x^26. Hint:The answer should be a whole number.

calculus
1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=6, and y=7. Show all work required in

calculus
what is the area of the region bounded by the curves y=x^2 , y=8x^2 , 4xy+12=0

Calculus
Find the area of the region bounded by the curves y = x^(1/2), y = x^(–2), y = 1, and y = 3. a) (1/2)(3)^1/2 + (4/3) b) 2*(3)^1/2  (8/3) c) (1/2)(3)^1/2  (32/3) d) 2*(3)^1/2  (32/3) e) (8/3)  2*(3)^1/2 So one thing that is throwing me off on this

calculus
find the centroid of the plane region bounded by the curves y = cos x, y=sinx, x=0,

calculus
10). Find the area of the region bounded by the graph of f(x)=4lnx/x, y=0, x=5.8 11). Find the area of the region bounded by x=y^21y, x=0

calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=3 y=x^2, x=y^2

Calculus
find the area of the region bounded by the curves y=x^21 and y =cos(x)

Calculus
Find the area of the region in the first quadrant bounded by the curves y=sin(x)cos^2(x), y= 2xcos(x^2), and y=44x a. 1.8467 b. 0.16165 c. 0.36974 d. 1.7281 e. 0.37859

cal 2
Find the number b such that the line y = b divides the region bounded by the curves y = x2 and y = 16 into two regions with equal area. (Round your answer to the nearest hundredth.)

calculus
Consider the graphs of y = 3x + c and y^2 = 6x, where c is a real constant. a. Determine all values of c for which the graphs intersect in two distinct points. b. suppose c = 3/2. Find the area of the region enclosed by the two curves. c. suppose c = 0.

Calc
Find the number b such that the line y = b divides the region bounded by the curves y = 4x2 and y = 16 into two regions with equal area. (Round your answer to two decimal places.)

Calculus
Find the area of the region bounded by the line y=3x and y= x^3 + 2x^2? and find the area of the region bounded by the curve y=e^2x 3e^x + 2 and the xaxis?

Calculus
Let A be the region bounded by the curves y = x^26x + 8 and y = 0. Find the volume obtained when A is revolved around the YAXIS

Calculus
We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1,

Calculus
We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1,

math, calculus
1. Consider the region bounded by the curves y=x^2+x12, x=5, and x=5 and the xaxis. A. Set up a sum of integrals, not containing an absolute value symbol, that can be used to find the area of this region. B. Find the area of the region by using your

Calculus
1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive intersection with the xaxis. 2. The area under the curve of y=1/x from x=a to x=5 is approximately 0.916 where 1

Math
The curves y=sinx and y=cosx intersects twice on the interval (0,2pi). Find the area of the region bounded by the two curves between the points of intersection.

Math
The curves y=sinx and y=cosx intersects twice on the interval (0,2pi). Find the area of the region bounded by the two curves between the points of intersection.

calculus
Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find the area of the region enclosed by the two curves; 2) Find the volume of the solid obtained by rotating the above region about the xaxis; 3) Find the volume of the solid obtained by

Calculus
The region R is the region in the first quadrant bounded by the curves y=x^ 2 4x+ 4, x = 0 , and x = 2, as seen in the image attached below: ibb.co/WgrRRRL Find a value h such that the vertical line x = h divides the region R into two regions of equal

calculus
find the area of the region bounded by the curves f(x)=xx^3 ; g(x)=x^2x ; over [0,1]

calculus
Find the area of the region bounded by the curves y=x^2 & y=2x???

math
find the area of region R bounded by the curves y=3x , x=2y and 2x+y=5

Calculus
Find the area of the region bounded by the curves y=x^2  2x and y= x + 4

calc
find the area under the region bounded by the curves y=x^23 and y=2x.

integral calculus
FIND THE AREA OF THE REGION BOUNDED BY THE CURVES Y= X^2 + 4X + 3 AND Y= x1.

Kenya water
Find the area of the region bounded by the curves y=xsinx and y=(x2)^2

Math
How do I find the area of the region bounded by the curves y = e^x, y = e^x, x= 2, and x = 1? Even if you could just help me in getting started it would be a HUGE help. Thanks!

Calculus
find area of the region bounded by the curves y=x^21 and y=cos(x). give your answer correct to 2 decimal places.

Ap Calculus
Find the area of the region bounded by the curves y=x^21 and y=cos(x). Give your answer correct to 2 decimal places

mathcalculus 2
Consider the given curves to do the following. 64 y = x^3, y = 0, x = 4 Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 1.

MATH
Region A that on xyplane is bounded by two (2) curves and a line. The curves are y=x^32x+3 and y=x^2+3 while the line is x=0. It is located in the first quadrant of xyplane. Determine the area of region A.

Calculus
Calculate the area of the bounded region between the curves y^2=x and 3y = 3y + 9 ?

AP Calculus
Find the area of the region bounded by the curves y = sin^1(x/2), y = 0, and x = 2 obtained by integrating with respect to y. Please include the definite integral and the antiderivative.

Calculus
Find the area of the region bounded by the curves y = sin^1(x/4) , y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.

Calc
Find the area of the region bounded by the curves y = sin^1(x/6), y = 0, and x = 6 obtained by integrating with respect to y. Please include the definite integral and antiderivative.

calculus
Find the number b such that the line y = b divides the region bounded by the curves y = 16x2 and y = 9 into two regions with equal area. (Round your answer to two decimal places.)

Calc
Find the area of the region bounded by the curves y2 = x, y – 4 = x, y = –2, and y = 1. So far I have found that the area of the trapezoid which is 13.5. But for the other two areas I cannot find them. They could be: 27/2 22/3 33/2 34/3 14 I believe

calc
Find the number a such that the line x = a divides the region bounded by the curves x = y^2 − 1 and the yaxis into 2 regions with equal area. Give your answer correct to 3 decimal places.

calculus
A region is bounded by the function y=2x^2+3 and the xaxis over the interval(0,2). Sketch the graph of the bounded region. Use the limit process to find the area of the bounded region. Explain the step in this limit process. Please explain all procedured

Calculus
Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

Math
Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

Maths
Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

Calculus
Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

Calculus
Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

Calculus
Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

Calculus
Consider the region bounded by the curves y=e^x, y=e^x, and x=1. Use the method of cylindrical shells to find the volume of the solid obtained by rotating this region about the yaxis.

calculus
Use the midpoint rule with n = 4 to approximate the area of the region bounded by y = x^3 and y = x.? I know how to use the midpoint rule to get the area under a curve but I'm confused on how to get the area between the two curves. Do I subtract them

calculus
Determine the exact value for the constant k such that the area of the region bounded by the curves y=x and y=kx^2 is equal to 2/3 sq units. Any help is appreciated.

calculus wxmaxima
does anyone know how to approximate the are and circumfrence of the region bounded by the given curves y=cos(x^2 +(100493/100000)), y=1+xX^2 i already did the area but i need help with the circumference

calculus
use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis. sketch the region and a typical shell. x=1+y^2, x=0, y=1, y=2

math
If the curves of f(x) and g(x) intersect x=a and x=b and if f(x)>g(x)>0 for all x on (a,b) then the volume obtained when the region bounded by the curves is rotated about the xaxis is equal to

math
region bounded by the parabolas y=x^2 and y=6x(x^2) is rotated about the xaxis so that a vertical line segment cut off by the curves generates a ring. find the value of x for which we obtain the ring of largest area

Calculus
Use the midpoint rule with n = 4 to approximate the area of the region bounded by y = x^3 and y = x. I just need to know how to use the midpoint rule when the area is between two curves instead of under a curve. Help please.

calculus
Find the continuity of the region bounded by the two curves. y=x^2 and y=3x?

calculus
find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. sketch the region and a typical disk or washer. y^2=x, x=2y; about the yaxis i am confused because i do not know how to set it up because

geometry
Consider the region in Quadrant 1 totally bounded by the 4 lines: x = 3, x = 9, y = 0, and y = mx (where m is positive). Determine the value of c such that the vertical line x = c bisects the area of that totally bounded region. Needless to say, your first

math
Consider the region in Quadrant 1 totally bounded by the 4 lines: x = 3, x = 9, y = 0, and y = mx (where m is positive). Determine the value of c such that the vertical line x = c bisects the area of that totally bounded region. Needless to say, your first

geometry
Consider the region in Quadrant 1 totally bounded by the 4 lines: x = 3, x = 9, y = 0, and y = mx (where m is positive). Determine the value of c such that the vertical line x = c bisects the area of that totally bounded region. Needless to say, your first

calculus
Let A be the region bounded by the curves y=x^26x+8 and y=0, find the volume when A is revolved around the xaxis

math
find volume when the region bounded by the curves y = Ln(x), y = 2, and x = 1 is revolved around the line y = −2.

Calculus
Let A be the region bounded by the curves y = x^26x + 8 and y = 0. Find the volume obtained when A is revolved around the YAXIS

math
Consider the region bounded by the curves y=5 and y=5 and y = x +4/x. set up the integral that would be used to determine the volume if the region was revolved about x = 1

calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x+y=4,x=5−(y−1) 2 ;

Calc
find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=x^2+1; y=9x^2; about y=1

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line: y=x, y=x^(1/2); about x=2

Calc2
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = x2, y = 1; about y = 6

K
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3e^(x), y = 3, x = 2; about y = 6

calculus
Find the volume of the solid obtained by rotating the region bounded by the curves y=x^6, y=1 about the line y=4

calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^4, y=0, x=2, x=9; about y=–5

calculus 2
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, x = 2, x = 6; about x = 1

calculus one
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^4,y=1; about y=5

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2,y=1; about y=7

Calculus
find volume of solid obtained by rotating region bounded by curves y=x and y=sq.rt x, about line x=2

calculus
find the volume of the solid obtianed by rotating the region bounded by the given curves about the line x=6 x=y^2 , x=1

Cal
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^2, y=0, x=4, x=5; about y=−2

calculus
Find the volume generated by revolving about the xaxis the region bounded by the following curves y=sqrt/(4x+3),x=0,x=4, and y=0. (Use "pi" for π).