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?

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- amistre64

Area in a direction can be negative; maybe

- amistre64

its either that or youve got your numbers backwards and are subtracting the smaller from the larger

- amistre64

15 - 3 = 12
3 - 15 = -12

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## More answers

- angela210793

well sometimes the area equals 0...so...that may b true...

- 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

hullo?

- amistre64

You are simply on the "other side" of normal

- anonymous

Ummm?

- amistre64

you can flip your bounds and it makes a (-) in front

- amistre64

it simply means that the area that you want is to the left of x=0

- amistre64

since you are working in a region that is "negative" to begin with, it gonne be a "negative" area

- anonymous

Alright, thank you...

- anonymous

Are you a teacher in some college?

- amistre64

nope...

- anonymous

You're a student? Whoa, man than your genius.

- amistre64

:)

- anonymous

then **

- anonymous

No, really, are you a student?

- amistre64

I am a college student yes; 35 years old tho so that might account for some wits lol

- anonymous

of which year then?

- anonymous

then you must be a Master's student, Well anyways thank you. Take care.

- anonymous

Well, I'm a 12th year student, just to tell you, by the way.

- amistre64

:) youll grow into it

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