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October 31, 2014

Search: Calculus - Integrals

Number of results: 13,127

calculus
[integrals]2/tsqrt(t^4+25) integrals of two over t square root of t to the 4th plus 25
November 23, 2009 by steve

Calculus (Definite Integrals)
How many definite integrals would be required to represent the area of the region enclosed by the curves y=(cos^2(x))(sin(x)) and y=0.03x^2, assuming you could not use the absolute value function? a.) 1 b.) 2 c.) 3 d.) 4 e.) 5
February 29, 2012 by Mishaka

calculus
There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all...
March 3, 2010 by Carmen

calculus
There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all...
March 4, 2010 by Carmen

Calculus AB
Consider the region bounded by the graphs of the equations x=y^2 and y=3x. Set up 2 integrals, one with respect to x and the other with respect to y, both of which compute the volume of the solid obtained by rotating this region about the x-axis and evaluate the integrals.
March 8, 2011 by Nellie

Calculus - evaluating integrals
I'm really having trouble with this current topic that we're learning. Any explanations are greatly appreciated. Evaluate the integrals: 1.) ∫ (2-2cos^2x) dx 2.) ∫ cot3x dx 3.) ∫ ((e^(sqrt x) / (sqrt x) dx))
March 23, 2011 by Amy

MATH 2B Calculus
Consider the area between the graphs x+4y=14 and x+7=y^2. This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals They ask to use two integrals so i put f(x) from -7 to 2 which is correct but for g(x) i put 2 ...
August 20, 2010 by TOMO

Calculus Please Help4
Consider the area between the graphs x+2y=9 and x+6=y^2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals as integral f(x)dx from a,b + integral g(x)dx from b,c I got a=-6 b=3 c=19 but what does f(x)=? g(...
April 25, 2014 by Babak

Calculus Area between curves
Consider the area between the graphs x+6y=8 and x+8=y2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals where a= , b=, c= and f(x)= g(x)= I found a, but not b or c. I can't seem to figure out f(x) and g(...
November 24, 2013 by Kelly

MATH
Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area.
December 7, 2012 by LUNG

Calculus
Integrals: When we solve for area under a curve, we must consider when the curve is under the axis. We would have to split the integral using the zeros that intersect with the axis. Would this be for all integrals? What if we just want to "find the integral", without finding ...
December 18, 2009 by Jennifer

Calculus - Integrals
What is the integral of arctan x?
March 13, 2008 by Sean

Calculus
[Integrals] h(x)= -4 to sin(x) (cos(t^5)+t)dt h'(x)=?
November 21, 2009 by Z32

calculus 2
integrate x^5/(x^2 + sqrt(2)) using a table of integrals
March 30, 2011 by Dana

Calculus - Integrals
Integral of (dt/[sqrt(t)+25tsqrt(t)]} From 1/75 to 3/25 I'm at a complete loss at what to do.
March 15, 2008 by Sean

Calculus
definite Integrals (using fundamental Theorem) Evaluate from -1 to 2(x^2 - 4x)dx
December 2, 2011 by Stacy

Calculus (integrals)
Find the integral:8x^7+6/(x^8+6x)^2 I got ln(x^8+6x)^2 but apparently that is wrong.
October 29, 2013 by Eve

Calculus
Hi. How can I integrate 1/(X^3 +1) ? Thank you to anyone who can help me :-) Write 1/(x^3 +1) as 1/[(x+1)(x^2-x+1)] Then use integration by parts, letting dv = dx/(x^2 -x +1) u = 1/(x+1) du = log (x+1) v = (2/sqrt3)arctan[(2x-1)/sqrt3] That should take you to the answer. I ...
March 18, 2007 by M

Calc or Pre calc
I am having trouble doing this problem. I know how to do indefinate integrals, but I don't know how to do definate integrals. Can you show me how to do this. Evaluate 5 (x^3-2x)dx 2
May 14, 2008 by jennifer

Maths
What is the answer for these questions:- 1) Indefinite Integrals gcx) = (8 + 39x ^ 3) / x 2) Indefinite Integrals hcu) = sin ^2 (1/8 u) 3) Evaluate x ( 8 - 5 x ^2) dx Thank you
June 16, 2011 by Alex

calculus
Use integrals to prove that the volume of a sphere of radius R is equal to (4/3)(pi)R^3
January 31, 2009 by matt

calculus
Use the Table of Integrals to evaluate the integral (x sine(6x^2)cos(7x^2)dx)
February 14, 2010 by ali

math, calculus 2
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. First of all it can be computed as a sum of two integrals integrate from a to b of f(x)dx + integrate from b to c of g(x)dx What is the value of a, b, c...
September 12, 2012 by bobby

Calculus
What is the connection between improper integrals, Riemann sums, and the integral test?
March 26, 2013 by Kendra

Calculus
Graph the integrands and use areas to evaluate integrals (integrate(3&-3)) root(9-x^2) dx
January 24, 2014 by Anonymous

single variable calculus - indefinite integrals
integral of (1-(sinx)^2))/(cosx)dx i don't know what to make my "u" for u-substitution
August 11, 2011 by Kelly

calculus
Evaluate the following integrals by using appropriate method : ∫cos⁡ ^3 ( 2x-5 )dx help
December 25, 2011 by Jacob

College Calculus
Could someone explain how to distinguish improper integrals in non-mathematical terms so I may understand? Thanks!
February 28, 2008 by Matt

calculus showed work
find the area of the rgion bounded by the graphs of y=x^3-2x 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: ...
January 6, 2007 by david

calculus
evaluate the following indefinite integrals by substitution & check the result by differentiation. ∫(sin2x)^2 cos2xdx
December 8, 2011 by Andresito

AP Calculus
how do you evaluate integral of [lxl] from (0,2) , a step function. would you just do it as if it were a absolute value and then do two different integrals?
February 10, 2009 by David

calculus 4
a solid cube, 2 units on a side, is bounded by the planes x=+-1, z=+-1, y=3 and y=5. Find the center of mass using triple integrals.
November 3, 2009 by john

calculus II university
prove the following integrals: a)sin3xcos7xdx = -1/20cos(10x)+1/8cos(4x) b)sin8xcos3xdx = -1/22cos(11x)-1/10cos(5x)
January 28, 2010 by maria

Calculus
"Evaluate the following indefinite integrals: "S" (3x^2 -2)/(x^3 - 2x + 1)^3 dx" We're practicing the substitution rule, and I know how to do it, but I don't know what/how to substitute in this question. btw: "S" is the integral sign.
April 11, 2010 by Stuck

Calculus
Integrate [1/square root of(e^(2x)-1)]. I have to use u substitution. We are doing the integrals of inverse trig functions, but I cannot get it to work out!
February 5, 2012 by Elaine

Calculus
Consider the area between the graphs x+1y=12 and x+8=y2 . This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals Interval a to b f(x)= i put 12-x but it's wrong Interval c to b f(x)= i put (x-8)^(1/2) but it's ...
April 29, 2012 by jasmineT

calculus
set up sums of integrals that can be used to find the area of the region bounded by the graphs of the equations by integrating with respect to y y=square root of x; y= -x, x=1, x=4
May 1, 2012 by dario

calculus
evaluate the following integrals by any means possible: b. integral from -1 to 1 (w/ (w^2+1)) (dw) c. integral from -3 to 0 sqrt(9-x^2)dx
July 3, 2009 by Dora

Calculus
1 0 x^2dx=1/3. Use this and the properties of integrals to evaluate 1 0 10−2x^2dx
May 12, 2013 by Brian

Calculus
1. Evaluate the following integrals (a) 􏰀 4x2 +6x−12 / x3 − 4x dx
May 26, 2013 by Maryam

Calculus
Evaluate the following integrals. Show all the steps in your calculation. a. _0^2(3x^3 - x^2 + 2)dx b. _0^1(e^2x - x^2)dx c. 1/(x+3)dx
April 27, 2013 by Hy'le

Calculus
I need help with integrals and I need help with the problem. Integral of 4/sqrt(x)dx
April 11, 2011 by Leanna

calculus
Evaluate the following integrals using the given substitutions. (a) (3x^2 + 10x)dx/(x^3 + 5x^2 + 18 , substitution u = x3 + 5x2 + 18; (b)(14x + 4)cos(7x^2 + 4x)dx,substitution u = 7x^2 + 4x.
May 27, 2014 by Carrolyn

Calculus (improper integrals)
the integral from 0 to lnx of lnx/(x^1/2) thanks!
March 6, 2008 by Chelsea

calculus
It is known that if m <= f(x) <= M for a <= x <= b, then the following property of integrals is true. m(b-a) <= int_a^b f(x)dx <= M(b-a) Use this property to estimate the value of the given integral. ? <= int_0^3 3/(1+x^2)dx 2 <= ? solve for the ?
January 17, 2009 by ben

Calculus (Integrals)
Evaluate the following expression: d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following options: 2t^3 + 3 56 5 -28.0 None of the above
February 15, 2012 by Mishaka

Calculus (Definite Integrals - Arclength)
Using the trapezoid rule with n = 8 to approximate the arc length of the graph of y = 2x^3 - 2x + 1 from A(0,1) to B(2,13) you get (to three decimal places): A.) 6.900 B.) 13.896 C.) 14.093 D.) 13.688 E.) 13.697
March 12, 2012 by Mishaka

calculus
prove the following integrals: a)sin3xcos7xdx = -1/20cos(10x)+1/8cos(4x) i know i have asked this question before but i am very confused bobpursley, can you please show me the steps of proves. thanks in advanced
January 28, 2010 by maria

Cal
consider the area between the graphs x+3y=1 and x+9=y^2. this area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals where a=,b=,c= and f(x0= and g(x)=. Alterntaively this area can be computed as a single integral
July 7, 2011 by Lan

Cal
consider the area between the graphs x+3y=1 and x+9=y^2. this area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals where a=,b=,c= and f(x0= and g(x)=. Alterntaively this area can be computed as a single integral
July 7, 2011 by Lan

calculus
For large values of n, the Riemann sum 1/n(sin0 + (pi/2n) + sin(2pi/2n) +sin(3pi/2n)+...sin((n-1)pi/2n)) is an approximation for which of the following integrals?
April 7, 2011 by Anonymous

Calculus - Integrals
I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S-1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.
March 23, 2008 by David

Calculus - Integrals
I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S-1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.
March 24, 2008 by David

CALCULUS 2!!! PLEASE HELP!!
I'm having trouble with this question on arc length: y=lnx, (squareroot)3/3 greater than or equal to x less than or equal to 1 It sounds as if you want the length of the y = ln x curve from x = sqrt(3)/3 (0.57735..) to 1. The formula for the arc length of a line y(x) is Length...
October 19, 2006 by Krystal

Calculus (integrals)
Use the following formula for the sum of the cubes of the first integers to evaluate the limit in part (a). 1**3+2**3+...+n**3=((n(n+1))/2)**2 (a)lim n approaches infinity and the sum of n (top) and i=1 (bottom) with (3i/n)^3*(3/n) I don't know how to solve this, can you help ...
April 16, 2010 by Sarah

Calculus
integral of cscx^(2/3)(cot^3)x i know that cot^2x is csc^2(x)-1, but i just don't understand how to solve the cscx^(2/3), any help? i also know that its trig integrals/substitution...
June 10, 2012 by Brandon

Calculus
I have two questions, because I'm preparing for a math test on monday. 1. Use the fundamental theorem of calculus to find the derivative: (d/dt) the integral over [0, cos t] of (3/5-(u^2))du I have a feeling I will be able to find the derivative easily, I'm just having trouble...
May 9, 2009 by Jennifer

Calculus
which of the following integrals results from making the substitution u=x^3 in orer to find (squiggly vertical line)x^2cos(x^3)dx ~cos u du ~u^2 cos u du ~u^(2/3) cos u du1/3 os u du ~3 cos u du
May 11, 2012 by Ken

calculus
Calculate Integrals: x= 2 cos - cos 2 -1, y= 2 sin - sin 2 ? I need the procedure. The answer is: 6 Thank you!
May 14, 2010 by Terry

Calculus (Integrals and Derivatives)
Evaluate the following expression: d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following options: 2t^3 + 3 56 5 -28.0 None of the above Would the result of the expression be 0 or 5???
February 15, 2012 by Mishaka

Calculus
Evaluate the following integrals {e˄x+e˄-x/ e˄x dx
April 4, 2011 by Zukii

ap calculus
Which of the following definite integrals gives the length of y = e^(e^x) between x=0 and x=1? All the answers are preceded by the integral sign from 0 to 1. (a) sqrt[1 + e^(2*(x+e^x))] dx (b) sqrt[1 + e^(4x)] dx (c) sqrt[1 + e^(x+e^x)] dx (d) sqrt[1 + e^(2e^x)] dx (e) sqrt[e...
December 19, 2012 by Jess

Calculus
Can someone help me to evaluate these two integrals? INT dx/(x^2*sqrt(x^2-25)) and INT (from 0 to 1) -5*sqrt(x^2+1) dx
September 22, 2011 by Jason

calculus
how do you calculate the instantaneous rate of change. is that the derivative. also: if f is the antiderivate of (x^2)/(1+x^5 such that f(1)=o then f(4)=? How would i find the integral of that? i don't even know what the first step is to get the answer. also, on this question...
April 13, 2007 by david

vector calculus
Show that the given line integral is independent of path.Then, evaluate the line integral I by finding a potential function f and applying the Fundamental Theorem of Line Integrals. I=_{(0,0)}^{(1,2)}(x+y)dx+(x-y)dy
November 28, 2011 by Donny

calculus help work
a force of 1250 pounds compresses a spring 5 inches from its natural length. find the work done in compressing the spring 8 additional inches. f=kd 1250=k5 k=250 then what do i do. i have to do this the calculus way, not the physics way. by using integrals the answer choices ...
January 8, 2007 by david

Calculus
integral 1 to 500 (13^x - 11^x) + integral 2 to 500 (11^x - 13^x) dx = (answer: 14.946) I tried typing the integrals in the graphing calculator to get the answer, but it says overflow. Any help on solving this? Thanks!
June 4, 2008 by Anonymous

calculus
how would you do this improper integral 1/(x-1) from 0 to 2 this is improper at one, so I split it up into two integrals ln(x-1) from 0-1 and ln(x-1) from 1-2 I then did for the first one the (lim t->1(-) of ln(t-1))-(ln(0-1)) and then the same thing for the second part I ...
February 9, 2008 by sarah

calculus
how would you do this improper integral 1/(x-1) from 0 to 2 this is improper at one, so I split it up into two integrals ln(x-1) from 0-1 and ln(x-1) from 1-2 I then did for the first one the (lim t->1(-) of ln(t-1))-(ln(0-1)) and then the same thing for the second part I ...
February 10, 2008 by sarah

double integrals
Combine the following two integrals into one by sketching the region, then switching the order of integration. (sketch the region) im gonna use the S for integral sign..lol SS6ycos(x^3-3x)dxdy+SS6ycos(x^3-3x) And the first integration limits for x are between -1 and y, for y ...
March 21, 2012 by Mary

Calculus
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 subintervals [1,4] [4,6] [6,7] what is the trapezoidal apporx. of the integral from 1 to 7 of f(x)dx? The answer: 160 I tried doing each interval as...
January 11, 2010 by Katie

Calculus
Find the volume of a pyramid with height h and rectangular base with dimensions b and 2b. Essentially, I'm trying to derive the volume of a pyramid using integrals and a graph and revolving the plane about an axis. I hope that's kind of clear and you guys understand what I'm ...
February 4, 2012 by Anonymous

calc
find integral using table of integrals ) integral sin^4xdx this the formula i used integral sin^n xdx =-1/n sin^n-1xcosx +n-1/n integral sin^n-2 using the formula this is what i got: integral sin^4xdx=-1/4sin^3xcosx+3/4 integral sin^2xdx= -1/2sinxcosx+1/2 integral 1 dx can ...
February 20, 2011 by tom

Calculus
Please help me calculate these integrals. Suppose that Int 0->1 f(t)dt=11 . Calculate each of the following. A. int0->0.25 f(4t)dt= B. int0->0.25 f(1−4t)dt= C. int0.25->0.375 f(3−8t)dt=
September 4, 2011 by Cady

Calculus
Please help me calculate these integrals. Suppose that Int 0->1 f(t)dt=11 . Calculate each of the following. A. int0->0.25 f(4t)dt= B. int0->0.25 f(1−4t)dt= C. int0.25->0.375 f(3−8t)dt=
September 5, 2011 by Cady

math, calculus
1. Consider the region bounded by the curves y=|x^2+x-12|, x=-5, and x=5 and the x-axis. 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. ...
April 23, 2014 by anon

Calculus (Definite Integrals - Force) Please Help
A cylindrical oil storage tank 12 feet in diameter and 17feet long is lying on its side. Suppose the tank is half full of oil weighing 85 lb per cubic foot. What's the total force on one endof the tank?
March 12, 2012 by Mishaka

calculus help please
dy/dx = 2y^2 Integrating...y=2/3 y^3 + C put 1,-1 into the equation, and solve for C. Then find the y for x=2 if y= a^uhttp://math2.org/math/integrals/tableof.htm see exponential functions. dy/dx=2y^2 and if y=-1 when x=1, then when x=2, y=? how do i get x in the equation. do ...
December 10, 2006 by bobpursley

Calculus (Definite Integrals - Fluid Pressure)
The ends of a water trough have the shape of the region bounded by the graphs of y = x2 and y = 4 with x and y both measured in feet. To what depth must the trough be filled with water so that the force exerted by the water on either end of the trough is 779.423 lb? (Water has...
March 12, 2012 by Casablanca

Calculus
Solve these indefinite and definite integrals. [integration sign] 4j-5j^3 dj I got 2j^2 - 5/4j^4... is this my final answer? If j is the variable, for the indefinite integral you have to add a constant. For the definite integral, you have to put in the lower, upper limits. j ...
December 18, 2006 by Alex

CALCULUS WXMAXIMA !!PLEASE!
y=log(100493/40000*x-1) y=atan(100493/40000*x+1) y=exp(-100493/40000*x+1) Note you will need 2 integrals to represent the area. Approximate the area of the region bounded by the given curves. I can do it with two but kinda struggling over here please helppp!
March 7, 2012 by Jordan

Tan^2 Integrals
I'm having a hard time understanding how to do Integrals involving tan^2. I have two problems: 1. Find the integral of (tan^2 y +1)dy 2. Find the integral of (7tan^2 u +15)du 1. My approach to it is to replace the tan^2 y portion of the problem with sec^2 y -1, but it doesn't ...
December 10, 2013 by Anonymous

Calculus
Application of Derivatives and Integrals: A sign 3 feet high is placed on a wall with its base 2 feet above the eye level of a woman attempting to read it. How far from the wall should she stand to get the best view of the sign, that is, so that the angle subtended at the ...
July 11, 2010 by JJ

integrals
integral of (x+6)/5
March 3, 2011 by john2

calculus 2
Justify, with a written explanation or a mathematical reasoning and with a sketch of at least two different cases, the following properties of integrals: a) If f(x) is less than or equal to g(x) for a<=x<=b then integrate from a to b of f(x)dx is less than or equal to ...
September 12, 2012 by bobby

Integral calculus
Please can anyone help with the following problems - thanks. 1) Integrate X^4 e^x dx 2) Integrate Cos^5(x) dx 3) Integrate Cos^n(x) dx 4) Integrate e^(ax)Sinbx dx 5) Integrate 5xCos3x dx The standard way to solve most of these integrals is using partial integration. So, look ...
April 13, 2007 by Febby

Integrals
Evaluate R xy dA , where R is the region bounded by x^2 +y^2 <=16 , x>=0 and y>=0
March 12, 2013 by Tony

Calculus - Partial Integrals
I made this question, just wanted to make sure it didn't drown under the tide... I've set a problem up, something like this. s^4: A+D=0 s^3: -2A+B-3D+E=0 s^2: 2A-B+C+3D-3E=0 s^1: -2A+B-D+3E=4 s^0: A+C-E=4 It's easier to substitute for s the values that make the denominators ...
March 25, 2008 by David

Integrals
Evaluate the integral of ∫(2x^2 −3)^2 dx
May 20, 2013 by Grant

calculus *improper integrals*
A hole of a radius of 1cm is pierced in a sphere of a 4cm radius. Calculate the volume of the remaining sphere. I know that the volume of a sphere with an exterior radius is of: V = pie(R^2 - r^2) dH where R^2 is the exterior surface area and r^2 is the interior surface area. ...
September 16, 2012 by John

mathematics
find value of tan44degrees using integrals
January 23, 2011 by rajni

Math
Evaluate the given indefinite integrals. ∫ (x+2)(2x+3)^1/2
January 14, 2012 by Jack

Diploma Maths
Evaluate the definite integrals [-2,0,(e^2+1),x] + [0,1,2 cos(x),]
November 2, 2012 by sean de la Harpe

Calculus - Integrals
Here's my first question: (FIrst part courtesy of Count Iblis) Integral of x sqrt(19x-7)dx ? Write the integral in terms of functins you do know the inegral of. Rewrite the factor of x as follows: x = 1/19 (19 x) = 1/19 (19 x - 7 + 7) = 1/19 (19 x - 7) + 7/19 ^ He wrote this ...
March 16, 2008 by Sean

Calculus - Integrals
The projected rate of increase in enrollment at a new college is estimated by dE/dt = 6,000(t+1)^-3/2 where E(t) is the projected enrollment in t years. If the enrollment is 3,000 now (t=0), find the projected enrollment 15 years from now.
November 21, 2013 by Jess

Math
Calculate the area above y=x^2 and to the right of x=y^2 using integrals.
January 2, 2008 by Bjorn

Calculus please help!!! double integral
Combine the following two integrals into one by sketching the region, then switching the order of integration. (sketch the region) im gonna use the S for integral sign..because idk what else to use. SS6ycos(x^3-3x)dxdy+SS6ycos(x^3-3x) And the first integration limits for x are...
March 22, 2012 by Sean

Maths
what is the answer to this question? Indefinite Integrals fct) = 14 sin (7) + 5e ^ - 15t
June 14, 2011 by Alex

Calculus - Derivatives
The approximation to a definite integral using n=10 is 2.346; the exact value is 4.0. If the approximation was found using each of the following rules, use the same rule to estimate the integral with n=30. A) Left Rule B) Trapezoid Rule The section deals with approximation ...
September 29, 2008 by UMich1344

Integrals
Give a geometric description (including a sketch) of the integral 0∫3 2x − 3x dx .
May 24, 2013 by Mat

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