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integral

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46 articles trouvés pour ce sujet.
 
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The derivative of x! 2016-04-16
Sang pose la question :
How to find the derivative of x! and integral of x!
Penny Nom lui répond.
The integral of a sum 2016-03-10
Rahul pose la question :
How to solve definite integral of a sum. The specific problem is as follows,
Integral of ( 1+ sum of x^k, k=1 to k=n), x=0 to x=b *dx.
The answer is b + sum of b^(k)/k, k=2, to k=n+1. I understand only the integral of first term. But integral of the sum I do not understand at all.

Penny Nom lui répond.
Integration of dx/(x^2+1)^3 2016-01-07
Ishank pose la question :
Integration of dx/(x^2+1)^3
Penny Nom lui répond.
The area bounded by the X-axis and y=x^(2)-4 from -5 to 0 2014-04-15
Lexie pose la question :
Determine the area that is bounded by the following curve and the x-axis on the interval below. (Round your answer to three decimal places)

y=x^(2)-4, -5 ≤ x ≤ 0

The answer is 32.333 but I have no idea how to get there.

Penny Nom lui répond.
Integration from 0 to 2pi of 1/(3cos x + 2) dx 2013-02-04
ankit pose la question :
Integration from 0 to 2pi of 1/(3cos x + 2) dx
Harley Weston lui répond.
An integral 2012-12-16
Slavena pose la question :
integration of (lnx)^2 / x dx
Penny Nom lui répond.
Integral 1/(25-x^2)^3/2 2012-02-22
John pose la question :
Integral 1/(25-x^2)^3/2
Harley Weston lui répond.
Integrating ln^3x/x 2011-01-14
ken pose la question :
y=ln^3x/x from x=1 to x=11
Penny Nom lui répond.
The integral of (x^2*exp(x)/(exp(x)-1)^2 2010-08-09
sujoy pose la question :
please find this integral for me

int(x^2*exp(x)/(exp(x)-1)^2

Robert Dawson lui répond.
The integral of X^3/the square root of 1-x^2 dx 2010-03-07
William pose la question :
The integral of X^3/the square root of 1-x^2 dx.
Harley Weston lui répond.
Integration of cos (x^2+y^2) dx dy 2010-02-12
anna pose la question :
How do you evaluate the integration of integration of cos (x^2+y^2) dx dy?
Tyler Wood lui répond.
An integral 2010-01-29
amr pose la question :
find the value of the following integral:- (1+x)power (-1/2) dx
Robert Dawson lui répond.
Integration of cos (x^2) dx 2009-10-12
Venkat pose la question :
How do you evaluate the integration of cos (x^2) dx ?
Harley Weston lui répond.
solve integral of ( x^2+x+1)^5 2009-09-18
jaka pose la question :
solve integral of ( x^2+x+1)^5
Robert Dawson lui répond.
A sundial on an elliptical cylinder 2009-07-22
Leo pose la question :
I want to build a sundial where the shadow falls on an elliptical cylinder. I can calculate the coordinates of the points on the cylinder that I want to mark. My problem is that I will have to make the surface as a flat sheet and bend it into an elliptical shape. However, I cannot work out a scheme to transfer the coordinates I know into a distance that will work when I bend the shape. Help!
Robert Dawson lui répond.
Area under curve 2009-07-21
Morag pose la question :
What is the area bounded by the curve y=X^2(2-X) and the x axis between x=0 and x=2?
Janice Cotcher lui répond.
The integral of a to power x squared 2009-04-28
JIM pose la question :
WHEN I ATTENDED U.OF T. (TORONTO ) MANY YEARS AGO WE WERE TOLD THE FOLLOWING INTEGRAL COULD NOT BE SOLVED : a to power x squared . is this still true ?

CURIOUS , JIM

Robert Dawson lui répond.
A definite integral 2009-02-09
Mathata pose la question :
Evaluate: integral from 0 to 1, x^2 e^x^3dx
Harley Weston lui répond.
An integral from 1 to infinity 2009-01-24
Ray pose la question :
Determine the area bounded by the x-axis and the curve y=1/(x^2) from x=1 to x=infinity.
A. 1.00
B. infinity
C. indeterminate
D. 2.00

Harley Weston lui répond.
The integral of f(x)dx and the integral of f(x-4)dx 2009-01-02
Katie pose la question :
Calculus: If the definite integral from -2 to 6 of f(x)dx=10 and the definite integral from 2 to 6 of f(x)dx=3, then the definite integral from 2 to 6 of f(x-4)dx= ?

I don't understand how to solve definite integrals when the function has something more than just x inside the parenthesis such as f(4-x).

Robert Dawson lui répond.
Integral of cos^2 X between pi/2 and 0 2008-12-18
Wanda pose la question :
Integral or Area of cos^2 X between pi/2 and 0.

The answer that I got is -pi/4. Is this correct? If not, how did you come up with your answer?

Robert Dawson lui répond.
Antiderivative of 1/(x(1 - x)) 2008-10-22
Matt pose la question :
derivative of dx/(x(1-x))

From what I've seen I should break apart the equation as such derivative of dx/x - dx/(1-x) and then get the 2 corresponding log functions.

If that is correct why does this factoring work, if that is incorrect what is the proper way to find the derivative.

Harley Weston lui répond.
A dog tied to a round building 2008-07-08
maitham pose la question :
i have this question which i don't know how to solve it :

One dog was linked to the outer wall of a building round of 20 meters in diameter. If the length of chain linking the dog sufficient turnover of half the distance around the building, What area can guard dog?

they said that we can solve it by integral .. can you solve it for me?

Harley Weston lui répond.
What is the integral of 13sin^3(x)*cos^7(x)dx? 2008-04-22
Cathrine pose la question :
I am having trouble integrating this problem. It says to evaluate the integral but I don't know what to do or how to do it.

It is the integral of
13sin^3(x)*cos^7(x)d

Harley Weston lui répond.
Integrate 2x(x^2-1)^5 dx 2008-04-17
joey pose la question :
pls help me to integrate
2x(x^2-1)^5 dx using the substitution u=x^2-1

Harley Weston lui répond.
The integral of dx / (4x^2 - 25)^3/2 2008-04-01
Meghan pose la question :
I have a question from the trigonometric substitution of my calculus course.

integral of dx / (4x^2 - 25)^3/2

Harley Weston lui répond.
An integral 2008-01-24
Meghan pose la question :
Evaluate the indefinite integral of (x^3 +1)^(1/3) * x^5 * dx.
Brennan Yaremko lui répond.
An integral 2008-01-23
Russell pose la question :
I checked out the integration site, but would like an explanation for integrating this integral
Tan^3[x] * _dx__
Cos^2[x]
Hope this input is correct! the part that throws me off is Tan^3[x], if it was squared rather than cubed I would have a easier time dealing with this one.

Harley Weston lui répond.
The integral of 1/ (x(x+1)^0.5) 2007-12-29
Nooruddin pose la question :
Integral of
dx / x(x+1)^0.5
(boundaries are 5 and 3)

Harley Weston lui répond.
Can't find circumference of an ellipse 2007-07-06
Michele pose la question :
I need to figure the circumference of an oval and I know the height and width.
Penny Nom lui répond.
Using calculus to prove the formula for the area of a triangle 2007-07-04
Apratim pose la question :
Using calculus how can one show that the area of any triangle is 1/2 times its base times its height?
Stephen La Rocque lui répond.
Integrate x^8 (x^8 + 2)^2 ((x^8 + 2)^3 + 1)^4 2007-01-09
James pose la question :
How do you integrate x^8 (x^8 + 2)^2 ((x^8 + 2)^3 + 1)^4
Penny Nom lui répond.
An Integral 2006-07-30
Aniket pose la question :

I am Aniket studing in 12 th standard At Mumbai
I have following integration problem please give me a solution

integral of 1/under root of (5x2 - 2x) dx


Penny Nom lui répond.
integral of tan^4 x 2006-05-14
Aqil pose la question :
integral of tan4 x
Penny Nom lui répond.
The integral of tan^4x 2005-03-31
Nicole pose la question :
college student. need help with tough integral.

the integral of 2tan4xdx


Penny Nom lui répond.
Integration of 1/(2+cos(x)) 2003-01-07
A student pose la question :
integral from pi to 0 of

dx/(2+cos x)

i used the substitution t=tan(x/2) and i ended up with

integral from +infinity to 0 of

2dt/(t2+3)

which looks like an inverse tan function , and i ended up with sqr(27)/2 pi , which is not the same as my calculator's answer , so i suspct i am doing some thing wrong. can some one tell me where i am going wrong please.
Penny Nom lui répond.

Arclength of an ellipse 2001-07-03
A hobbyist pose la question :
What is the equation (with the length of the arc as a variable) for one quadrant of the ellipse,...
Claude tardif lui répond.
The average value of a continuous function 2001-05-08
Esther pose la question :
The average value of a continuous function y = f(x) on the interval [a,b] is given by ________________?
Harley Weston lui répond.
Two integrals 2001-04-03
Jim pose la question :
I'm having trouble with these integrals. Can you help me out?

1)the integral of:

x5 arctan x dx

2)the integral of:

2x5 + 9x4 + 19x3 + 13x2 - 5x - 25
----------------------------------------------- dx
x4 + 4x3 + 5x2


Claude Tardif lui répond.
Comparing an integral and a sum 2000-11-21
Douglas Norberg pose la question :
A fellow teacher asked me about a problem she wanted to give to her students. It involved whether to take a million dollars or a penny doubled a number of times. I was able to determine the number must have been .01 * 230 which is about $10 million and a lot more than $1 million. To check that I was right I used a spreadsheet and did a Riemann sum.

When I finished I reasoned that I had done the task in several steps and I could have done it in 1 step. Thus I integrated .01 * 2x from 0 through 30 but the number I got was $15,490,820.0324. Why the difference?


Harley Weston lui répond.
Integral solutions 2000-11-20
David pose la question :
determine all pairs of integers (x,y) which satisfy the equation

6x2 - 3xy - 13x + 5y = -11

I got

y= (6x2-13x+11)/(3x-5)

and i don't konw how to continue


Claude Tardif lui répond.
An improper integral 2000-05-04
A high school senior pose la question :
Hi, I am a high school senior and I need help stugying for a final. I am stuck on one of the questions on my review sheet. Does the improper integral from 5 to infinity of (38/97)x converge or diverge? If it converges I also need to know how to find the approximate value accurate to .01 of its actual value.
Harley Weston lui répond.
An indefinite integral 2000-05-03
Bonnie Null pose la question :
I am to find the indefinite integral of: (ex - e-x)2 dx
Claude Tardif lui répond.
Riemann sums 2000-03-30
Joshua D. Parham pose la question :
If n is a positive integer, then
 
     lim   (1/n)[1/(1+1/n) + 1/(1+(2/n) + ... + 1/(1+n/n)] 
n->infinity 

can be expressed as the integral from 1 to 2 of 1/x dx
Penny Nom lui répond.

Two calculus problems 1999-12-13
Alan pose la question :
I have 2 questions that are very new to me, they were included on a quiz and the material was never covered. Our teacher never explained the purpose and detailed explanation of how to solve the problem. Could you help? Thanks.

Question 1:
A ball is falling 30 feet from a light that is 50 feet high. After 1 sec. How fast is the shadow of the ball moving towards the light post. Note that a ball moves according to the formula S=16t^2

Question 2:
How many trapezoids must one use in order for the error to be less than 10^-8 if we want to find the area under the curve Y=1/X from 1 to 2. Find the exact area, Graph the function and use the trap rule for the "N" that you found.


Harley Weston lui répond.

The average rate of change of a function 1999-04-20
Tammy pose la question :
Suppose that the average rate of change of a function f over the interval from x=3 to x=3+h is given by 5e^h-4cos(2h). what is f'(3)? I would appreciate any help with this question.
Harley Weston lui répond.
 
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