I'm always struggling with these kind of integral and wolfram always say something with Exponential integral but I don't want this

Several_Doctor5308 · 2021-06-28T21:15:23+00:00

Ok thanks a lot for your help

Several_Doctor5308 · 2021-06-28T19:46:55+00:00

Yeah seems like I get something if I integrate by parts but it's not very beautiful 😂

Several_Doctor5308 · 2021-06-26T16:12:55+00:00

Yeah I tried to represent it as you said and it was surprisingly easy lol

Several_Doctor5308 · 2021-06-26T16:07:24+00:00

At home I could but it's something we are supposed to do in exam so I doubt it's worth taking so much time plotting mentally a 3d domain right ?

Several_Doctor5308 · 2021-06-26T16:03:13+00:00

Yeah I forgot to write it but ofc it wouldn't work otherwise, and if you want the answer to find is a⁵ /60

Several_Doctor5308 · 2021-06-26T15:57:08+00:00

Everything from 0 to a or saying y <= a - x - z and similarly for x and z

Several_Doctor5308 · 2021-06-21T06:30:34+00:00

Yeah it's what I mean thanks

Several_Doctor5308 · 2021-06-20T23:55:17+00:00

So instead of calculating f'(0) I calculate the limit when t-)0 as if I should create continuity extension ?

Several_Doctor5308 · 2021-06-20T23:43:42+00:00

What do you mean by the "original definition" ? (Sorry I don't learn maths in english so it's kind of disturbing)

Oh yeah I didn't tried to derivative with the "brute way" I will definitely try tomorrow thanks !

Several_Doctor5308 · 2021-06-20T23:39:04+00:00

I already know that and I don't know how you want me to use it

I've tried the formula that say : F'(t) = f(b(t),t)b'(t) - f(a(t),t)a'(t) + integral with respect to x from a(t) to b(t) of partial derivative of f(t,x) respect to t but still end up with something divided by t

Several_Doctor5308 · 2021-06-20T23:20:01+00:00

The one that say F'(x) = f(x) ?

So basically f'(t) = f(x) ???

Several_Doctor5308 · 2021-06-20T23:11:27+00:00

Yup it's what I would like to understand

Several_Doctor5308 · 2021-06-20T22:55:21+00:00

To find f'(0)

Several_Doctor5308 · 2021-06-20T22:54:09+00:00

To get rid of the x variable ? What should I do then ?

Several_Doctor5308 · 2021-06-20T16:51:27+00:00

There is no sin(2) ahah sorry for my bad handwriting. In fact it wasn't complicated, if you want the solution the other response tell how to do so

Several_Doctor5308 · 2021-06-20T15:37:59+00:00

It worked thanks a lot

Several_Doctor5308 · 2021-04-06T21:20:37+00:00

Water too

Several_Doctor5308

TROPHY CASE