anonymous
  • anonymous
Definite integral gives you the area, and area can't be negative. But while doing exercises, i cam across a lot of definite integrals, which after integrating, were giving negative answers. Why is it so?
Mathematics
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anonymous
  • anonymous
Definite integral gives you the area, and area can't be negative. But while doing exercises, i cam across a lot of definite integrals, which after integrating, were giving negative answers. Why is it so?
Mathematics
schrodinger
  • schrodinger
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amistre64
  • amistre64
Area in a direction can be negative; maybe
amistre64
  • amistre64
its either that or youve got your numbers backwards and are subtracting the smaller from the larger
amistre64
  • amistre64
15 - 3 = 12 3 - 15 = -12

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angela210793
  • angela210793
well sometimes the area equals 0...so...that may b true...
anonymous
  • anonymous
For example, when you integrate this definite integral, \[\int\limits_{-1}^{-3} (x-1)^{-3} dx\] the answer is -3/32 is it so because of the negative limits?
anonymous
  • anonymous
hullo?
amistre64
  • amistre64
You are simply on the "other side" of normal
anonymous
  • anonymous
Ummm?
amistre64
  • amistre64
you can flip your bounds and it makes a (-) in front
amistre64
  • amistre64
it simply means that the area that you want is to the left of x=0
amistre64
  • amistre64
since you are working in a region that is "negative" to begin with, it gonne be a "negative" area
anonymous
  • anonymous
Alright, thank you...
anonymous
  • anonymous
Are you a teacher in some college?
amistre64
  • amistre64
nope...
anonymous
  • anonymous
You're a student? Whoa, man than your genius.
amistre64
  • amistre64
:)
anonymous
  • anonymous
then **
anonymous
  • anonymous
No, really, are you a student?
amistre64
  • amistre64
I am a college student yes; 35 years old tho so that might account for some wits lol
anonymous
  • anonymous
of which year then?
anonymous
  • anonymous
then you must be a Master's student, Well anyways thank you. Take care.
anonymous
  • anonymous
Well, I'm a 12th year student, just to tell you, by the way.
amistre64
  • amistre64
:) youll grow into it

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