Question

What is the value of this?

Answer 1

\[\int\limits_{}^{}0.\]

Answer 2

oye! you mean:
\[\int0.dx\]??

Answer 3

ya k! take that
sorry i am only starting integral calculus

Answer 4

matlab answer --> constant!

Answer 5

If derivative of any constant is 0, then anti-derivative or integral on 0 is constant..

\[\int\limits_{}^{}0.dx = c\]

Where c is the constant...

Answer 6

because differentiation of any constant is '0', so anti-derivative would be any constant!

Answer 7

oh so it is like this\[\frac{d}{dx}c=0.\]& so; \[\int\limits_{}^{}0\space dx =c.\]

Answer 8

what is zero? well in your case, it means y=0 (because you're doing single variable calc with x varying)

think of the line y=0. it's a horizontal line, also known as the x-axis. what is the area beneath that curve (the integral)? nothing, right? that's why it's zero.

do you mean definite integrals? if so, then they won't all equal zero. it depends on the function and the interval.

Answer 9

Yes you are right..

Answer 10

for example, when you are integrating something... say.. \(\int x.dx\) you are basically differentiating \(\int x.dx + 0\) which is the same thing.

and now that equals \(x^2 + c\), right?

So getting an idea?

Answer 11

k:)
i gt that:)

Answer 12

thanx.

Answer 13

Woohoooo! keep 'getting' stuff aye ;)

Answer 14

:)