/sci/ - Science & Math » Thread #7624120

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Anonymous Thu 29 Oct 2015 14:45:49 No.7624120 View Reply Report Delete

Quoted By:

How does one derive a function f(x) which is a definite integral from a to x of some other function? a is a constant btw.

Anonymous

Anonymous Thu 29 Oct 2015 14:51:36 No.7624139 Report Delete

Quoted By: >>7624144

>a function f(x) which is a definite integral from a to x of some other function
>a function f(x)
What? Do you mean something like

$(f(x))(y) = \int_a^x g(y,t) dt$

or what?

Anonymous

Anonymous Thu 29 Oct 2015 14:56:30 No.7624144 Report Delete

Quoted By: >>7624147 >>7624154 >>7624194

>>7624139
no

$f(x) = \int_{a}^{x} g(t) dt$

I need to find the derivative of f(x)

Anonymous

Anonymous Thu 29 Oct 2015 14:57:21 No.7624147 Report Delete

Quoted By: >>7624156

>>7624144
https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus

Anonymous

Anonymous Thu 29 Oct 2015 15:00:11 No.7624154 Report Delete

Quoted By:

>>7624144
Then use libeniz rule
$\frac{df}{dt}=\int \frac{ \partial g}{\partial t} dt$

Anonymous

Anonymous Thu 29 Oct 2015 15:01:16 No.7624156 Report Delete

Quoted By: >>7624177

>>7624147
Is there any other way to do that? I know that theorem, but I'm wondering whether there are other ways to do that.
Or do I just derive (F(x) - F(a))?

Anonymous

Anonymous Thu 29 Oct 2015 15:14:37 No.7624177 Report Delete

Quoted By: >>7624187 >>7624194

>>7624156
you're retarded

Anonymous

Anonymous Thu 29 Oct 2015 15:19:56 No.7624187 Report Delete

Quoted By:

>>7624177
Good job making a fool of yourself.

Anonymous

Anonymous Thu 29 Oct 2015 15:22:28 No.7624194 Report Delete

Quoted By:

>>7624177
>>7624144

f'(x) = (G(x) - G(a))'

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