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The integral of a to power x squared |
2009-04-28 |
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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. |
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Arclength of an ellipse |
2001-07-03 |
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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. |
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Two integrals |
2001-04-03 |
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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. |
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Comparing an integral and a sum |
2000-11-21 |
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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. |
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Riemann sums |
2000-03-30 |
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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. |
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Two calculus problems |
1999-12-13 |
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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.
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