1. I have done this integration at Wolfram:
http://www.wolframalpha.com/input/?i...rom+0+to+995++
it gives a result but says computation time exceeded
If you have access to a good math program, can you check if the rsult is correct?
Thanks

2.

3. Mathematica gives the same answer (unsurprisingly). The "time limit exceeded" just means it ran out of time to do all the other things Alpha will try and do with your expression. If it ran out of time on the main result (which certainly can happen), it wouldn't give you one at all.

4. Thanks Magimaster,
since you are an expert, can you explain what is (if any) the practical rule to find quicly the result.
To simplify matters I have changed the parameters:
integrate y= sin(tan^-1(5/x))* 50000/ (x^2+25) from 0 to 1 - Wolfram|Alpha

I tried to deduce it from the indefinite integral, but did not succeed:

from 0 to 1 = 5000 sqrt(2/13)
from 0 to 2 = 20000/sqrt29
from 0 to 5 = 5000 sqrt2
from 0 to 10 = 4000 sqrt5
from 0 to 1000 = 2 000 000/sqrt 40 001

why sometimes the sqrt is above and sometimes is below?

5. You should probably put the square root around the whole thing ( and ).

When you say quickly find the result, do you mean "quickly find the definite integral given the indefinite integral," or "quickly find the indefinite integral," or something else? If it's the first, then call the indefinite integral . Then the definite integral . If it's the second, there's no quick way of working out integrals.

6. Works perfectly fine on my iMac, both in WolframAlpha and in MAPLE. This ( rather complicated ) definite integral evaluates to 10768.4

7. Originally Posted by Markus Hanke
Works perfectly fine on my iMac, both in WolframAlpha and in MAPLE. This ( rather complicated ) definite integral evaluates to 10768.4
It is not so complicated after all Markus, it boils down to k sin^3
if x and 4.64.. are the legs of a triangle

 Bookmarks
##### Bookmarks
 Posting Permissions
 You may not post new threads You may not post replies You may not post attachments You may not edit your posts   BB code is On Smilies are On [IMG] code is On [VIDEO] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are On Terms of Use Agreement