
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 = −x and y = x/2 for x in [0, 6]

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. Enclosed by y = x and y = x^4

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. HINT [See Example 3.] Enclosed by y = x and y = x^4

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. (Round your answer to three decimal places.) Between y = e^x and y = x for x in [1, 2]

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. (Round your answer to four significant digits.) Enclosed by y = e^x, y = 2x + 1, x = −2...


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. (Round your answer to four decimal places.) Enclosed by y = ln x, y = 2 − ln x, and x = 4

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 − 4x + 1 and y = −x2 + 4x − 5 for x in [0, 3]

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 = x^2 − 4x + 1 and y = −x^2 + 4x − 5 for x in [0, 3]

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 = −x and y = −x^3 for x in [−1, 1]

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. Enclosed by y = x^2 − 4x + 1 and y = −x^2 + 4x − 5

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. Enclosed by y = x^2 − 4x + 1 and y = −x^2 + 4x − 5

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. (Round your answer to four significant digits.) HINT [See Quick Example page 1028.] Enclosed ...

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. (Round your answer to four significant digits.) HINT [See Quick Example page 1028.] Enclosed ...

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. (Round your answer to four significant digits.) HINT [See Quick Example page 532.] Enclosed ...

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 = x^2 − 4x + 1 and y = −x^2 + 4x − 5 for x in [0, 3] Please don't...


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, but i can't arrive at...

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 line x=c divides the region M into two pieces with equal area. C. M is the base of a solid whose cross sections are semicircles whose diameter lies in...

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. 3y+x=3 , y^2x=1

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

Find the volume of the solid whose base is the region in the xyplane bounded by the given curves and whose crosssections perpendicular to the xaxis are (a) squares, (b) semicircles, and (c) equilater triangles. y=x^2, x=0, x=2, y=0 I know how to graph what is given, but I ...

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 the volume when the ...

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 answer from part A. ...

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 bounded by the ...

Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 + 2x+2 over [0,2]. I got 34/3. Calculus  Steve ∫[0,2] (x^2+2x+2) dx = 1/3 x^3 + x^2 + 2x [0,2] = 8/3 + 4 + 4 = 32/3 Why are you taking the antiderivative of x^2 +2x+2 when we are trying to find the...

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 rotating the above region ...


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

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, and y=0 is rotated ...

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, and y=0 is rotated ...

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. y=3+√X, y=3+1/5x What is the area?

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(x^(1/2)), y=4, and 2y +2x = 6 I keep getting an area around 21.3 but it is incorrect. Am I close? Thank you!

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

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.

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.

The functions f and g are given by f(x)=√x and g(x)=6x. Let R be the region bounded by the xaxis and the graphs of f and g, as shown in the figure in the link below. Please show your work. h t t p://goo.gl/jXIZD 1. Find the area of R. 2. The region R is the base of a ...

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 x=0. Graph shown through...


find the area of the rgion bounded by the graphs of y=x^32x and g(x)=x i drew the graph and half of the graph is above the xaxis and the other half is below the axis. so the integrals i came up with are two because i broke them up and i combined the answers at the end: ...

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=3(x^(1/2)) , y=5 and 2y+3x=6

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√x and y = 5 and 2y+2x = 6.

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. y = 5x^2 and y = x^2+6

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. x+y^2=42, x+y=0

Sketch the region enclosed by the curves x= 49y^2 and x = y^2  49. Decide whether to integrate with respect to x or y. Then find the area of the region.

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. y=e^1x, y=e^4x, x=1

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=3sqrt(x) , y=3 and 2y+3x=6.

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=3sqrt(x) , y=3 and 2y+3x=6.

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. y=e^(4x), y=e^(6x), x=1


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=3sqrt(x) , y=3 and 2y+3x=6.

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area S of the region. y=sqrt(x) , y=1/2 x , x=25

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=3sqrt(x) , y=3 and 2y+3x=6.

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=3 sqrt x,y=3 and 2y+1x=4

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=3sqrt(x) , y=3 and 2y+3x=6.

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=5 rootx, y=5, and 2y+2x=7.

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=3sqrtx and y=3 and 2y+2x=5

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=3sqrt(x) , y=3 and 2y+3x=6.

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=3sqrtx , y=3 , 2y+2x=5

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=3sqrt(x) , y=3 and 2y+3x=6.


Roughly sketch the region enclosed by the curves y = sin x, y = cos x and the x  axis between x = 0 and x = p/ 2 . Also find the area of this region.

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=3sqrt(x) , y=3 and 2y+3x=6.

Sketch the graph and find the area of the region described below. f(x)= 3xe^((x)^2) Find the area of the region bounded below by the graph of f(x) and above by the xaxis from x = 0 to x = 3.

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<=a<5. Using your calculator, find a. 3...

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=5x^(1/2) , y=4 and 2y+1x=6 I've been trying this problem for about 3 hours. Please help!!!!!

Sketch the region in the first quadrant enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=10cosx, y=10sin2x,x=0

Suppose that 0 < c < ¥ð/2. For what value of c is the area of the region enclosed by the curves y = cos x, y = cos(x  c), and x = 0 equal to the area of the region enclosed by the curves y = cos(x  c), x = ¥ð, and y = 0? i have no idea how to solve this question.

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=4x^1/2,y=5,2y+1x=5 Do you really mean "2y+1x=5" ? It is not customary to use the coefficient 1 in front of a variable. It is unnecessary. ...

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=3sqrt(x), y=5, and 2y+3x=6 I tried this many times and i am getting it wrong. Please show me how you got to the answer.

Sketch the region enclosed by the given curves. y = 4/X y = 16x, y = 1X/16 x > 0 and the area between the 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 Based on my calculations, I would say that the answer is e.) 0.37859. I ...

Can someone look at my work and see what i did wrong. I did this 100 times but i keep getting it wrong 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=3x^(1/2) , y=4 and 2y+1x=4 y=3(x^(1/2...

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=5x , y=3 and 2y+1x=6 It is easier to integrate with respect to the variable Area = Help!!!!

1. Find the area of the region between the curves y=sin(x pi/2) and y=x. 2. Find the area of the region between the curves y=sin(x), y=sin(2x), x=0, and x=pi/2.

1. Find the area of the region between the curves y=sin(x pi/2) and y=x. 2. Find the area of the region between the curves y=sin(x), y=sin(2x), x=0, and x=pi/2.

1. Find the area of the region between the curves y=sin(x pi/2) and y=x. 2. Find the area of the region between the curves y=sin(x), y=sin(2x), x=0, and x=pi/2.

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.

find the area of the region for 2y=4sqrt(x) , y=3, and 2y+3x=7

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label ts height and width. Then find the area of the region. y=x^2 y^2=x

II don't even know where to start with this can anyone help?!? Find c>0 such that the area of the region enclosed by the parabolas y=x^2c^2 and y=c^2x^2 is 270.


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=3(x^(1/2)) , y=4, and 2y+3x=6 I have been working on this problem for the past 3 hours with a friend and we have just hit a brick wall. We ...

Let R be the region in the first quadrant under the graph of y=1/sqrt(x) for 4</=x</=9. (a)Find the area of R. I took the antideriative. Then, I plugged in the 9 and 4. I got 2. (b) If the line x=k divides the region R into two regions of equal area, what is the value of...

Find the area of the region between the curves y = x^2 and y = 2/(x^2+1).

Find the area of the region between the curves y=8−x2 y=x2 x=−3 and x=3

Find the area of the region enclosed by the given curves: 4x+y^2=9, x=2y

Find the area of the region in the first quadrant between the curves y=x^8, and y=2x^2x^4

Find the area of the shaded region. the following curves are; y=x^3 y=x+6 y=1/2x

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

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

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


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

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

let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3  4. a) find the area of R b) the horizontal line y = 2 splits the region R into parts. write but do not evaluate an integral expression for the area of the part of R that is below this horizontal ...

let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3  4. a) find the area of R b) the horizontal line y = 2 splits the region R into parts. write but do not evaluate an integral expression for the area of the part of R that is below this horizontal ...

Let f be the function given by f(x)=3sqrt(x2). A) On the axes provided sketch graph of f and shade the region R enclosed by the graph f, the xaxis, and the vertical line x=8 (already completed just mentioned it for part B.) B) Find area of the region R described in part (A...

Find the area of the region enclosed by the given curves: y=e^6x, y=2sin(x), x=0, x=pi/2

Find the area of the region between the curves y=lnx and y=ln2x from x=1 and x=5.

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

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

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


Let R be the region bounded by the curves y=lnx^2 and y=x^24 to the right of the yaxis. A. Find the area of R. B. Find the folume geneated when R is rotated about the line y=4. C. Write, but do not evaluate the integral expression that gives the volume of the solid ...

A man owns a rectangular piece of land. The land is divided into four rectangular pieces, known as Region A, Region B, Region C, and Region D. One day his daughter, Nancy, asked him, what is the area of our land? The father replied: I will only tell you that the area of Region...

Sketch the region enclosed by the given curves. y = 4/x, y = 16x, y =1/4x, x > 0 Find the area.

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!

Find the area of the region between the curves y=8−x^2 y=x^2 x=−3 and x=3 I made a slight correction
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