Calculus 3: Line Integrals (4 of 44) What is a Line Integral? NOT TO BE CONFUSED WITH

In this video I will explain the line integral is NOT the length of a line (curve).

Next video in the series can be seen at:

[zubair]

Ooo yaar...
I was so confused with line integrals but after watching ur videos I'm getting confident about the concept. Love u sir. God bless you...

[MechanicalEI]

Explaining what they are by showing what they actually are not! Great approach sir. Thank you for posting.

Edit: Spell check

[vbrr]

Thats an example to find the length of line (arc) of a curve!...so line integral is not the sum of the small lenghts.

[louismotte]

thank you once again for explaining things others could not

[ranveersingh.]

awesome content sir....I became your fan..Thank you very much

[allenofatlanta]

I thought that I understood what a line integral was, until this video. Let's say that a particle travels along the path of the parabola from x=0 to x=2. Wouldn't we have to integrate that section of the parabola to find the approximate distance ( 4.5 units, as you solved for in the problem) ?

[liamharrison]

How did he get the from sqrt(1+x^2) to x(sqrt(x^2) + 1/4) 1/4(ln(x+sqrt(x^2 + 1/4)))]2-0

[jj_zahraa_jj]

Thank you for this video it is help me alot in my study

[justadreamerforgood]

What if f(x, y)=1. Doesn't the line integral become an arc length formula ?