Search: Calculus (Definite Integrals - Force) Please Help

Number of results: 113,277

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...
Thursday, March 4, 2010 at 2:03am 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
Wednesday, February 29, 2012 at 7:55pm 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?
Monday, March 12, 2012 at 8:49pm 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.
Sunday, April 29, 2012 at 4:05pm by Tabby

Calculus
definite Integrals (using fundamental Theorem) Evaluate from -1 to 2(x^2 - 4x)dx
Friday, December 2, 2011 at 1:10am by Stacy

Calculus - Integrals
Could you expand on #1 a bit more? I tried Partial Fractions, but I couldn't get a definite answer...
Sunday, March 23, 2008 at 12:12pm by David

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 ...
Monday, December 18, 2006 at 4:42pm by Alex

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...
Monday, March 12, 2012 at 8:50pm by Casablanca

Calculus
a) correct b) on your graph, x = -4 and x = 1 are vertical asymptotes. c) causes all kinds of headaches in such calculations as finding definite integrals, or even just making a sketch of the graph
Saturday, February 11, 2012 at 1:46pm by Reiny

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 ...
Monday, September 29, 2008 at 10:05pm by UMich1344

Help W/ Definite Integrals
You are welcome
Sunday, April 29, 2012 at 4:05pm by Reiny

Calculus
The indefinite integral is (1/2)[(x^2+1)arctanx -x] Evaluate it at x=1 and subtract the value at x=0 Definite integral = (1/2)[2*(pi/4) -1] - (1/2)[0 - 0] = (pi/4) - (1/2) I used a table of integrals. It looks like a function that requires "integration by parts" .
Monday, October 24, 2011 at 2:27am by drwls

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 ...
Monday, March 12, 2012 at 7:09pm by Mishaka

Definite Integrals
Integral [0,pi/2] of sin(x)ln(sinx) w.r.to x.
Tuesday, June 26, 2012 at 9:25pm by alsa

Calculus
No, not true for all integrals. But if you are looking for something that only has magnitude, you have to split the integrals, as the area below the axis is NEGATIVE. On things like vector work (force*dx), the negative would mean work being absorbed, so it might be useful to ...
Friday, December 18, 2009 at 1:56pm by bobpursley

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"...
Tuesday, September 12, 2006 at 8:21pm by Jan

Diploma Maths
Evaluate the definite integrals ç[-2,0,(e^2+1),x] + ç[0,1,2 cos(x),]
Friday, November 2, 2012 at 5:01pm by sean de la Harpe

definite integrals
integrate [sinx + cosx] from 0 to 2pie, where [ ] represents greatest integer function .
Thursday, April 26, 2012 at 11:44am by ..

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
Monday, March 12, 2012 at 6:18pm by Mishaka

Calculus
Integrate x^2 dx and 5 dx/x separately and add the two. That will give you the "indefinite integral". Then subtract the value at x = 2 from the value at x=3. That is the "definite integral" that they are asking for These are two integrals you should know, ...
Friday, February 5, 2010 at 1:39am by drwls

calculus
[integrals]2/tsqrt(t^4+25) integrals of two over t square root of t to the 4th plus 25
Monday, November 23, 2009 at 1:26am by steve

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...
Wednesday, December 19, 2012 at 5:44pm by Jess

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 ...
Tuesday, August 21, 2012 at 3:22pm by Sara

Calculus
Okay, so I ended up with the expression: 1/2[4/3arctan(4(x^2+1/2)/3) Can you confirm this is correct before I use the fundamental theorem of calculus to determine the definite integral please.
Saturday, January 22, 2011 at 8:11pm by Rachel

Definite Integrals
Integral of theta^3*lnsintheta with respect to theta from 0 to pi
Tuesday, June 26, 2012 at 9:25pm by alsa

Definite Integrals
∫[0,pi] x^3 ln(sin(x)) dx you got me. wolframalpha . com figures the value, but it's not evaluated using elementary functions.
Tuesday, June 26, 2012 at 9:25pm by Steve

calculus-definite integral
In exams, watch out for these freebies, definite integrals only! If you can show that the function to be integrated is odd (i.e. f(x)=-f(x), and the limits of integration is symmetric around 0, e.g. -%pi/4 to %pi/4, etc., the answer is zero! Try that with known odd functions, ...
Thursday, December 1, 2011 at 1:53am by MathMate

Help W/ Definite Integrals
Oh wow. Thank you so much. That was much more help than the book gave me! Thanks and God bless, Reiny!
Sunday, April 29, 2012 at 4:05pm by Tabby

calculus
Unless you meant 1 + x^4 in the denominator or x^4 in the numerator, that integral is a very difficult one to do. Are you sure you typed g(x) correctly? There is a recursion formula for that integral in my Table of Integrals, but it leads to two new integrals that look even ...
Sunday, February 17, 2008 at 11:25pm by drwls

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 ...
Thursday, September 29, 2011 at 2:33pm by Patrick

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.
Tuesday, March 8, 2011 at 1:10pm by Nellie

calculus
Please show me how you do this. Thank you. Calculate the definite integral: 2 ∫_ 2x dx 7
Tuesday, March 5, 2013 at 7:16pm by tommy9

Calculus (Definite Integrals)
See plot and make your choice. http://img401.imageshack.us/img401/2217/1330563319.png
Wednesday, February 29, 2012 at 7:55pm by MathMate

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 ...
Tuesday, July 3, 2012 at 6:03pm by Parker

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 ...
Friday, August 20, 2010 at 10:58pm by TOMO

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))
Wednesday, March 23, 2011 at 11:40am by Amy

Calculus - Integrals (part 1)
<<Integral of x sqrt(19x-7)dx >> Let u = 19x -7 dx = (1/19) du x = (1/19)(u + 7) So the integral becomes the sum of two integrals: Integral of (1/19)u^(3/2) du + Integral of (7/19)u^(1/2) du both of which are easy integrals. Remember to change from ...
Sunday, March 16, 2008 at 11:22am by drwls

Calculus
9(sinx + cosx)/sin2x = 9( sinx/(2sinxcosx) + cosx/(2sinxcosx) = (9/2)(1/cosx + 1/sinx) = (9/2) (secx + cscs) can you take it from there? (the integrals of secx and cscx should be part of your repertoire of basic integrals)
Thursday, March 7, 2013 at 12:22am by Reiny

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
Thursday, January 28, 2010 at 2:24pm by maria

MATH
Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area.
Friday, December 7, 2012 at 5:03am 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...
Friday, December 18, 2009 at 1:56pm by Jennifer

Calculus (Integrals)
56
Wednesday, February 15, 2012 at 7:41pm by anne

physics
If you did not have the integrals to derive the equation, I bet you were given an equation like this: Potential Energy of charge close to other charge = PE or U = k Q1 Q2 / R That is all I did with the integrals. That is where the 1/Rend and 1/Rbegin comes from. The work done ...
Saturday, February 23, 2008 at 2:42pm by Damon

Calculus (integrals)
20.25
Friday, April 16, 2010 at 6:52pm by Naumair

Calculus - Integrals
1) A/x + B/(1+x) 2) A/x + B/x^2 + C/(1+x) I think I'm right....
Monday, March 24, 2008 at 12:53pm by David

Calculus - Integrals
What is the integral of arctan x?
Thursday, March 13, 2008 at 9:43pm by Sean

HELP WITH MATH
This looks like integral calculus, so why do they call it precalculus? The area is the definite integral of the function y(x) from 3 to 6. The definite integral is the change in the indefinite integral going from x=3 to x=6. The indefinite integral is (2/3)x^3 +x^2/2 + x ...
Wednesday, May 14, 2008 at 9:47pm by drwls

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 ...
Monday, January 8, 2007 at 8:56pm by david

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 ...
Monday, January 14, 2008 at 1:46pm by mathstudent

Calculus (Integrals)
Actually none of the above
Wednesday, February 15, 2012 at 7:41pm by anne

Calculus
[Integrals] h(x)= -4 to sin(x) (cos(t^5)+t)dt h'(x)=?
Saturday, November 21, 2009 at 7:48pm by Z32

Calculus - Integrals
O_O OH DEAR GOD.
Tuesday, March 25, 2008 at 9:43pm by mclovin'

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
Sunday, January 2, 2011 at 4:39am by adela

Calculus - Integrals (part 2)
<<Integral of [(sin(7x)^2)*(sec(7x)^4) dt] >> I assume your differential variable of integration is dx, not dt. I suggest you rewrite sin(7x)^2 as 1 = cos^2(7x). That leaves you with two integrals: one involving sec^4(7x) and the other sec^2(7x) (...
Sunday, March 16, 2008 at 11:22am by drwls

chemistry
the state of matter that has neither definite shape nor definite volume is?
Tuesday, October 7, 2008 at 6:34pm by eao

Calculus
I do not know how you got 0.7, negative infinity seems to me correct because there is an asymptote at x=5. For improper integrals where the vertical asymptote is between the integration limites, we have to be careful not just evaluate the integral at the two limits. Instead, ...
Friday, October 22, 2010 at 8:34pm by MathMate

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!
Wednesday, March 7, 2012 at 4:39pm by Jordan

Calculus II
Could you show how to do this problem using integrals?
Monday, January 23, 2012 at 8:14pm by Morgan

Calculus
It's the same as the integral of x^-2 + x^-5 Add the integrals if each term.
Monday, October 31, 2011 at 7:46pm by drwls

calculus 2
integrate x^5/(x^2 + sqrt(2)) using a table of integrals
Wednesday, March 30, 2011 at 12:27am by Dana

calculus
is it because every interval of one the integrals approach 1?
Wednesday, February 24, 2010 at 11:13am by Paul

calculus 4
Why use triple integrals? The CM is at the average x, y and z: x = 0, z=0 and y=4.
Tuesday, November 3, 2009 at 3:00pm by drwls

Calculus - Integrals
Thank you so much. You cleared that up really well. Thank you.
Sunday, March 16, 2008 at 11:22am by Sean

Spanish
P.S. I nearly forgot the prepositional phrase = definite article + de + phrase (Examples): (libro) el de María es peor. (casa) la de mi barrio es peor (los libros) los de esta clase son peores (las casas) las de su pueblo son peores Sra Summary: 1) definite article + ...
Sunday, August 3, 2008 at 4:28pm by SrJMcGin

single variable calculus - indefinite integrals
Oh! I didn't realize it was so simple. Thank you!
Thursday, August 11, 2011 at 7:53pm by Kelly

Calculus - Integrals
You now just need to solve for A, B, and C :)
Monday, March 24, 2008 at 12:53pm by Count Iblis

Calculus - Integrals
I don't quite get how you did the first one. Mainly the cos(1/2 x)
Friday, March 14, 2008 at 9:00pm by Sean

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
Thursday, June 16, 2011 at 4:49am by Alex

calculus
1. break it into three integrals INT (x dx)+int(7x^-2 dx) - int x^-8dx 2.multipy it out break it into three inegrals, and use the power rule. 3. two integrals, power rule.
Sunday, July 25, 2010 at 7:45pm by bobpursley

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
Wednesday, May 14, 2008 at 9:42pm by jennifer

calculus
Evaluate the definite integral:
Sunday, March 4, 2012 at 3:24pm by osama

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...
Saturday, August 18, 2012 at 11:47pm by Parker

Calculus
Hm, I've never done integrals using that method before. I'll check it.
Wednesday, January 9, 2013 at 7:48pm by Kyle

Calculus
straightforward power integrals. What do you get? ∫12x^2 dx = 4x^3, etc.
Wednesday, November 21, 2012 at 12:05am by Steve

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 ?
Sunday, January 9, 2011 at 7:03pm by Jazmin

chemistry
thank u so much! i have on more question if u dont mind... the state of matter that has a definite volume but not a definite shape? is that a liquid?
Tuesday, October 7, 2008 at 6:34pm by eao

Calculus
What is the connection between improper integrals, Riemann sums, and the integral test?
Tuesday, March 26, 2013 at 5:58pm by Kendra

calculus *improper integrals*
I see how it makes sense now, thanks a lot Steve!
Sunday, September 16, 2012 at 11:57pm by John

calculus
Use integrals to prove that the volume of a sphere of radius R is equal to (4/3)(pi)R^3
Saturday, January 31, 2009 at 4:53pm by matt

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 ...
Sunday, March 18, 2007 at 10:52pm by M

Calculus
nevermind, I got it. It's convergent because the definite integral is = 3!
Saturday, September 15, 2012 at 11:55pm by Paul

Calculus
Evaluate the definite integral. xe^(–x^2)dx from 0 to 6
Thursday, February 11, 2010 at 4:15pm by <3

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...
Tuesday, July 19, 2011 at 9:37am by Pryia

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...
Wednesday, September 12, 2012 at 8:03am by bobby

calculus *improper integrals*
yes , the hole goes through the sphere, centered along the diameter
Sunday, September 16, 2012 at 11:57pm by John

Calculus - Partial Integrals
I'm confused. As soon as I get the so called 'Basic Equation,' I just don't know what to do after....
Tuesday, March 25, 2008 at 7:19am by David

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.
Saturday, March 15, 2008 at 9:55pm by Sean

Calculus - Integrals
Sorry. I lied. Misread the question. What is the indefinite integral of arccot(4x) ?
Thursday, March 13, 2008 at 9:43pm by Sean

Physics (Please)
Newton ponder all this, and had to invent calculus to explain what was happening. Hold your questions until calculus, you will get the answer there. Work is in calculus terms, the integral of force *dx integrated over the path. Remember that, then in calculus, all your terms ...
Monday, October 19, 2009 at 8:29pm by bobpursley

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 ...
Monday, February 25, 2013 at 6:50am by Anonymous

math
The integral of y/cos^2y dy = The integral of e*e^x dx + Constant y tany + log(cosy) = e^x*(x-1) + C Use an initial condition to evaluate C Verify the integrals yourself. I used a table of integrals.
Wednesday, March 30, 2011 at 3:54am by drwls

calculus
an equivalent representation of the definite integral of 3 to 1 2xcos(x^2)dx is
Sunday, February 5, 2012 at 8:35pm by illy

single variable calculus - indefinite integrals
integral of (1-(sinx)^2))/(cosx)dx i don't know what to make my "u" for u-substitution
Thursday, August 11, 2011 at 7:53pm by Kelly

calculus
Use the Table of Integrals to evaluate the integral (x sine(6x^2)cos(7x^2)dx)
Sunday, February 14, 2010 at 11:28pm by ali

Calculus - Partial Integrals
The paragraph after the thing with s as a variable is copy and pasted from Count Iblis.
Tuesday, March 25, 2008 at 7:19am by David

College Calculus
Could someone explain how to distinguish improper integrals in non-mathematical terms so I may understand? Thanks!
Thursday, February 28, 2008 at 7:59pm by Matt

calculus
much too nasty to work out here, try http://integrals.wolfram.com/index.jsp?expr=sqrt(1%2Bx^3)&random=false
Monday, February 23, 2009 at 11:22am by Reiny

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