Clarification on last integral example video

[LordTacohead]

Can someone give me a link to the last one? I'm not sure which video preceded this one, it's hard to figure out how some of these videos are related sometimes.

[oc2vegas420]

holly shit my head is going to explode your to smart!! haha

[Painfoot]

for that problem, how would the integral actually look? Because if you do it with respect to, say, "t," then your area will be from t = e^x to t = e^4. Is "x" here just any value on the t axis?

[LordTacohead]

Yes, the solution is a function of x allowing you to determine the area under the curve of the original function f(t) for arbitrary values of x.

What's really crazy about this video is the "error" at the beginning, where he's evaluating f(x) from x=e^x to x=e^4. x never equals e^x for real values of x, and yet if you left that as it was you'd get a perfectly plausible-looking function F(x) at the end anyway...

[LordTacohead]

...albeit one that wouldn't actually give you the area under the curve of f(x) for any real value of x. Er, I think.

[djkadirtube]

your blackboard is best. is it ms paint.

[CogitoErgoCogitoSum]

Sorry dude... didnt mean to prompt an entire new video. I enjoy your videos. Your work is much appreciated

[vosabre]

I love this stuff! Great videos Mr. Kahn, they're very helpful. =)

[wigleboy]

The second method of revaluating the limits of integration is pretty swank.

[Waranle]

Thank you Sal, always apperciate your way of teaching, Smiles*

[Poke4Poker]

i'm guessing it was a problem relating to the fundamental theorem of calculus and they forgot to put the d/dx in front of the integral

[endiowns]

thanks!

[electrourge]

1+1=2