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abz_tech
 3 years ago
integration question
abz_tech
 3 years ago
integration question

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abz_tech
 3 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits\limits_{0}^{1} \frac{ x+1 }{ x ^{2}+6x+5 }dx\]

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1\[x^2+ 6x + 5 = (x+3)^2 (3)^2 + 5 = (x+3)^2 9 +5 = (x+3)^2 1 \] \[\int\limits \frac{x+1}{(x+3)^{2}1} \]

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1Wait. \[\frac{x+1}{(x+5)(x+1)} = \frac{A}{(x+5)} +\frac{B}{(x+1)} \] Better now. :D

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1For A: \(x= 5\) \[\frac{(5+1)}{(5+1)} =\frac{4}{4}=1 \]

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Aren't you forgetting something @Mimi_x3 ?

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1For B: \(x= 1\) => \(0\) What am I forgetting?

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1\[\frac{(x+1)}{(x+5)(x+1)} = \frac{1}{x+5}\]

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1There is something wrong.

abz_tech
 3 years ago
Best ResponseYou've already chosen the best response.0isn't u's and du/dx supposed to come into play about now 0_o?

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1\[\int\limits_{0}^{1}(x+5)^{1}dx\]

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1I was right anyway :P just went the long way.

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Ya, exactly. You're so silly :P

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1That doesn't work hero, u = x+5

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1I can make u = x + 5 if I want or not. It doesn't matter. It will still work.

abz_tech
 3 years ago
Best ResponseYou've already chosen the best response.0how would u solve (x+5)^1

winterfez
 3 years ago
Best ResponseYou've already chosen the best response.0no i guess that does not work

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1\[\int\limits\frac{1}{x+5}dx \] \[u = x+5 => \frac{du}{dx} = 1 => du = dx \] \[\int\limits\frac{1}{u} du = \ln(x+5) + C\] @hero: writing in that form won't work.

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1I don't need @mimi_x3 ( a kid) to tell me things, lol

winterfez
 3 years ago
Best ResponseYou've already chosen the best response.0@hero right, is absolute value for ln

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1I am not a kid!! It's the truth it won't work in the form; of if you want to use that retarded formula.

abz_tech
 3 years ago
Best ResponseYou've already chosen the best response.0hero how would u go about doing \[\int\limits_{0}^{1} (x+5)^{1}\]

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1Using that form; wont get you anyway; and get lost.

abz_tech
 3 years ago
Best ResponseYou've already chosen the best response.0fine mimi, can u tell me your way =/?

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1She already did. @winterfez, also provided some good steps.

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1i typed up the solution!!! scroll upp!!

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1I think I deserve a medal for pointing @mimi_x3 in the right direction.

abz_tech
 3 years ago
Best ResponseYou've already chosen the best response.0then with the limits would i be ln 6  ln 5?

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1Well, first I was not wrong,I just went the long way. I would have gotten the right anwer without your input. Secondly, can you please show us how you would integrate \[\int\limits(x+5)^{1} dx\]

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1Lol, because it's impossible :)

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.1Me want a medal as well!
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