Question

How do you know if integrals are improper?

Answer 1

if the function that you're integrating goes to infinity ^_^ I guess

Answer 2

Okay! Do you know how to tell if they converge or diverge?

Answer 3

if the answer = a finite number, then it converges, but if your answer = infinity , then it diverges ^_^

Answer 4

no, it has infinity as one of the limits

Answer 5

it doesnt "go to infinity" :\

Answer 6

but this one also works, my professor said that, or maybe I was day dreaming again ._.

Answer 7

or it could result in division by zero

Answer 8

Basically, if there is an interval that you are integrating within, ie there are numbers on the top and bottom of the intendant, or the s looking thing, then it is proper. If there are no numbers, and it goes tninfinity, it's improper.

You tell if it converges or diverges by seeing if any values cause the function to be indeterminate.

Answer 9

that's what I meant elec, division by zero = infinity

Answer 10

\[\int\limits_{-\infty}^{\infty } f(x) dx\]

something like that

Answer 11

Does that mean it's improper?

Answer 12

or \[\int\limits_{0}^{1} \frac{e^x}{x}\]

Answer 13

It's improper if there are no limits. The infinity is implied, so it's usually not written.

Answer 14

there are two cases
either the interval of integration is infinite
or the function to be integrate becomes infinite at the given interval of integration

Answer 15

so both of u guys elecengineer and sstrica r right

Answer 16

lol uzma :)

Answer 17

:)

Answer 18

Thanks guys!

Answer 19

yeh now I get what you me, but I dont like when people say that you get infinity when you divide by zero.

Its not 100% mathematically correct, get your definitions in order :P

Answer 20

np ^_^

Answer 21

nothing is 100% , there's only 98% elec ^_^

Answer 22

?

Answer 23

100% = perfection

perfection doesn't exist, but it's good to seek it ^_^

Answer 24

Wait .. so how do you know if it's converging or diverging again? Converging ends in an actual number and diverging goes to infinity or divides by zero?

Answer 25

finite number = converge, infinite number = diverge

Answer 26

It diverges if it has an asymptote.

Answer 27

torch aren't you supposed to be in bed by now? Lol

Answer 28

horizontal or vertical?

Answer 29

Thats how you find if it goes to zero or infinity

Answer 30

By using the asymptote?

Answer 31

Either asymptote will cause a divergence. It doesn't matter if it is horizontal or vertical.

And I'm going star! Lol gimme a medal and fan me, catch ya later! Lol

Answer 32

What's a medal?

Answer 33

Next to my name there's a button. You push it for the person that helped the most or a lot. Haha

Answer 34

oh okayy

Answer 35

Sweet! :) hope that answered your questions!

Answer 36

It did!