Hey mad scientists, I got this problem wrong on my test:( and I was wondering how to answer it. I memorized the way my book describes to do Riemann sums, but I guess I didn't completely understand it. Any help will be greatly appreciated.


The table gives the values of speedometer readings of a braking car taken every three seconds. Express the integral as a limit of Riemann sum using the values at the right end points of the intervals. Do not evaluate the limit.

Table:
Speed(feet per second): | 73 | 63 | 54 | 37 | 22 | 9 | 0 |
Time of Reading in Seconds: | 10 | 13 | 16 | 19 | 22 | 25 | 28 |

You mean you're wanting an estimate, using a Riemann summation, of the distance travelled in that time? Multiply each number by three (since that's the length of each time interval) and add them together. That's it. The integral is the limit of this sum as the length of each interval tends to zero.

You mean you're wanting an estimate, using a Riemann summation, of the distance travelled in that time? Multiply each number by three (since that's the length of each time interval) and add them together. That's it. The integral is the limit of this sum as the length of each interval tends to zero.

What I want is the Riemann summation written as a limit. I know the answer contains a Sigma and a limit as n approaches infinity. I really hate these bullshit pseudo-conceptual problems....

lim t->inf of t sigma k=9 f(k+3)*3

I think thats it. Its been a while and I was always a little shaky with sigma notation.

lim t->inf of t sigma k=9 f(k+3)*3

I think thats it. Its been a while and I was always a little shaky with sigma notation.

Thanks alot. That looks right.

By the way, is your location referring to the "paradise" or is it referring to the awesome, mind-shattering children's movie?
http://ecx.images-amazon.com/images/I/51CZ600F5BL._SL500_AA240_.jpg

Thanks alot. That looks right.

By the way, is your location referring to the "paradise" or is it referring to the awesome, mind-shattering children's movie?
http://ecx.images-amazon.com/images/I/51CZ600F5BL._SL500_AA240_.jpg

Hobo paradise. Never heard of the movie.