Calculator 4 years ago What does it mean by restriced values in wolfram alpha? http://www.wolframalpha.com/input/?i=integrate+1%2F%2810-v%2F5%29

1. anonymous

where?

2. Calculator

Click the show steps then you'll see it

3. anonymous

im guessing it would be the value of v that would make the denominator equal to 0

4. anonymous

you cant have a denominator of zero right?

5. Calculator

That's weird because even the solution here http://www.xtremepapers.com/papers/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20%289709%29/9709_w11_ms_51.pdf ended up $-5 \log (v-50)+c$ but not $-5 \log \left(10-\frac{v}{5}\right)+c$

6. anonymous

hmmm wolfram does a lot of funny business =_=

7. anonymous

um, v cannot equal 50. try evaluating your original expression with v = 50.

8. Calculator

v can be 50, ln(0)=1

9. anonymous

ln (1) = 0

10. anonymous

ln (0) = infinity

11. anonymous

ln e = 1

12. anonymous

even your original function: 1/(10-v/5) what do you get when v = 50?

13. anonymous

http://www.wolframalpha.com/input/?i=1%2F%2810-v%2F5%29 Look what would the integral be at v = 50? v = 50 is a vertical asymptote.

14. UnkleRhaukus

how did you get ln (0) is infinity at @lgbasallote ?

15. anonymous

hmm read the post lol...i didnt get ln (0) i was explaining that ln (0) is not 1

16. UnkleRhaukus

ln (0) is not infinity either

17. anonymous

well...close enough

18. UnkleRhaukus

|dw:1344507971374:dw|

19. anonymous

depends if 0+ or 0-...but i just generalized as infinity =))

20. anonymous

my point was it's not 1 =_=

21. UnkleRhaukus

infinity is not close enough to negative infinity