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October 25, 2014

Search: Calculus (Definite Integrals - Force) Please Help

Number of results: 73,142

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 (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 (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

Help W/ Definite Integrals
Evaluate the definite integral of (4x^3-x^2+2) from 5 to 2. Can someone please explain what I'm being asked to do? My book is not clear on this concept.
April 29, 2012 by Tabby

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

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 (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 (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 - 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

Calculus (Definite Integrals - Work)
Recall that work is defined to be force times distance, and that the weight (force) of a liquid is equal to its volume times its density. A fish tank has a rectangular base of width 2 feet and length 6 feet and sides of height 5 feet. If the tank is filled with water weighing ...
March 12, 2012 by Mishaka

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
Would someone clarify this for me... Is antiderivatives just another name for intergral and why is intergral of a function is the area under the curve? Antiderivatives is another word for integral. Why area? THink on this...the integral is the sum of all the "heights" times ...
September 12, 2006 by Jan

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

definite integrals
integrate [sinx + cosx] from 0 to 2pie, where [ ] represents greatest integer function .
April 26, 2012 by ..

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
In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and y=sin(3x) intersect four times. Let A, B, C, and D be the x-coordinates of these points so that 0<A<B<C<D<5. Which of the definite integrals below ...
December 5, 2013 by Rasheda

Science
9. Which one of the following statements is characteristic of liquid water? A. It has a definite shape but not a definite volume. B. It has neither a definite shape nor a definite volume. C. It has a definite volume and a definite shape. D. It has a definite volume but not a ...
August 21, 2012 by Sara

Definite Integrals
Integral of theta^3*lnsintheta with respect to theta from 0 to pi
June 26, 2012 by alsa

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
Can someone explain to me how to do these? Given the following definite integral and n=4 answer the following questions. (Round your answers to six decimal places.) 1. Use the Trapezoidal Rule to approximate the definite integral. Answer: T4= 2. Use the Midpoint Rule to ...
September 29, 2011 by Patrick

calculus
Please show me how you do this. Thank you. Calculate the definite integral: 2 ∫_ 2x dx 7
March 5, 2013 by tommy9

Calculus
"Leave the answer as a definite integral, but indicate how it could by evaluated by using the fundamental theorem of calculus." I solved the problem to a definite integral. Proceeding via the fundamental theorem, would involve finding the indefinite integral (or antiderivative...
July 3, 2012 by Parker

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

Calc
If we know that the definite integral from -6 to -3 of f(x) equals 6, the definite integral from -6 to -5 equals 2 and the definite integral from -4 to -3 equals 4 then: What is the definite integral from -5 to -4? I know that this is zero. But then what can we say about the ...
September 27, 2013 by Anonymous

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 Help Please Urgent!!!
Prove that the integral on the interval [a,b] of x is equal (b^2-a^2)/2 integral a to be (x)dx = (b^2-a^2)/2 using the definition of a Definite Integral. This is the limit of a sum approach. show steps please!!! Thank you!!!
April 30, 2014 by Anonymous

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
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

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
Assuming that: Definite Integral of e^(-x^2) dx over [0,infinity] = sqrt(pi)/2 Solve for Definite Integral of e^(-ax^2) dx over [-infinity,infinity] I don't know how to approach the new "a" term. I can't use u-substitution, integration by parts, partial fractions, or trig ...
January 14, 2008 by mathstudent

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

Calculus Area between curves
Evaluate the definite integral: sqrt(8-2x) lower limit=-7 upper limit=0 I got -(1/3)(8-2x)^(3/2) and it was wrong. Please Help! Thanks in advance!
November 22, 2013 by Kelly

calculus
find the definite integral that is equivalent to lim n->infinity of sum over i=(1,n) n/(n^2+i^2) since definite integral of f(x) dx over (a,b) = lim n->infinity sum over i=(1,n) f(a + (b-a)i/n) * (b-a)/n then: f(a + (b-a)i/n) * (b-a)/n = n/(n^2+i^2) rearrange to: so f(a...
August 18, 2012 by Parker

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 (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

chemistry
the state of matter that has neither definite shape nor definite volume is?
October 7, 2008 by eao

calculus
using the fundamental theorem of calculus what is the derivative of the definite integral from x^3 to sqrt x of (sqrt t) sin t dt
January 2, 2011 by adela

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
Evaluate the definite integral. xe^(x^2)dx from 0 to 6
February 11, 2010 by <3

Calculus 1
Evaluate the definite integral: (dx/(x(1+ln(x))) from 1 to e^7.
November 26, 2010 by Back against the wall

calculus
Evaluate the definite integral:
March 4, 2012 by osama

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

Chemistry
which substance has a definite shape and a definite volume at STP ? (1)NaCl(aq) (2)Cl2(g) (3)CCl4(l) (4)AlCl3(s) is it 4 because its a solid? Am i right ?
January 9, 2011 by Jazmin

Science
a__has a definite shape and a definite volume
January 30, 2014 by Anonymous

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

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

Calculus
Evaluate the definite integral.∫from 0 to 2 x/√(1+2x)dx
January 21, 2010 by Tracy

calculus
an equivalent representation of the definite integral of 3 to 1 2xcos(x^2)dx is
February 5, 2012 by illy

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 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
find the definite integral that represents the are of the region enclosed by y= 4x-x^2.
February 21, 2010 by ciara

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

calculus
Write the definite integral for the area of the region bounded by the grpahs of y=9-x^2 and y=0
December 18, 2011 by Celina

English
Please check my work. Correctly identifying the part of speech of each word in the sentences. Example: The boy hit the ball The (definite article) boy (subject) hit (past tense verb) the (definite article) ball (dircet object). 1. Mother gave me a card for my birthday. Mother...
July 19, 2011 by Pryia

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
Evaluate the definite integral The S thingy has 1 at the bottom and 9 at the top. 4x^2+5 divided by the sqrt of x.
June 23, 2009 by Z32

calculus
What is the definite integral from 0 to x of 1/(4 + t + 3t^2) dt? For starters, what is the anti-derivative and how did you find it? I think I could take it from there.
April 14, 2010 by Gabe

Calculus
A donut is generated by rotating the circle, S, defined by (x-3)^2 +y^2 =4 about the y axis. If the anagement of dunkin donuts wants to know how to price these donuts use intergral calculus to help them (i) set up a definite intergral to determine the volume,V1, of a donut ...
February 25, 2013 by Anonymous

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
Evaluate the definite integral: [4,8] (4x^2+10)/(x^(1/2)) dx Been trying this for about 1 hour. Very frustrated, thank you.
January 21, 2009 by Jay

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
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

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
t 3 5 7 9 11 13 V(t) 0 30 23 19 12 6 A. What is the largest number of subdivisions that can be used to estimate the definite integral ∫3-13V(t)dt? Answer: n=
November 10, 2010 by Erika

Calculus
Find the definite integral that represents the arc length of the curve y=sqrt(x) over the interval [0, 3]
May 26, 2011 by Hannah

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
I am having a lot of trouble doing these types of problems. Can someone show me how to do this. Thank you for your time. Evaluate the definite integral 4 x(x+3)dx 0
May 14, 2008 by Elena

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

definite integral
Use the Riemann Sums corresponding to 5 inscribed rectangles of equal width to approximate the integral a= 1, b= 3, (1/x)dx this is all for definite integral i just know x1=1.4, x2=1.8, x3=2.2, x4=2.6, x5=3.0 how do i continue
May 15, 2013 by Eric

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 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
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
Use integration by parts to evaluate the definite integral. Intergral: xsec^2(6x) dx I set u=sec^2(6x) and dv=x, but the problems seems to get harder as I go on.
February 27, 2009 by Jake

Fundamental Theorm of Calculus
Use a definite integral to find area of the region under the curve y=7-4x^2 and above the x-axis. Thanks in advance!
November 20, 2013 by LIz

math
Note: You can get full credit for this problem by just answering the last question correctly. The initial questions are meant as hints towards the final answer and also allow you the opportunity to get partial credit. Consider the definite integral from pi/6 to pi/2 cos(z)/...
January 25, 2014 by kitor

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