- #1

Castilla

- 241

- 0

" Let be [tex]F(x) = \int_{-\infty}^{x} f(t)dt.[/tex] Then, by the Fundamental Theorem of Calculus, [tex]F'(x) = f(x).[/tex]"

With the minus infinity on the lower limit, it is this a valid aplication of the FTC?

Thanks.

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- Thread starter Castilla
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- #1

Castilla

- 241

- 0

" Let be [tex]F(x) = \int_{-\infty}^{x} f(t)dt.[/tex] Then, by the Fundamental Theorem of Calculus, [tex]F'(x) = f(x).[/tex]"

With the minus infinity on the lower limit, it is this a valid aplication of the FTC?

Thanks.

- #2

DrGreg

Science Advisor

Gold Member

- 2,433

- 1,654

Castilla said:

" Let be [tex]F(x) = \int_{-\infty}^{x} f(t)dt.[/tex] Then, by the Fundamental Theorem of Calculus, [tex]F'(x) = f(x).[/tex]"

With the minus infinity on the lower limit, it is this a valid aplication of the FTC?

Thanks.

[tex]F(x) = \int_{-\infty}^{a} f(t)dt + \int_{a}^{x} f(t)dt[/tex]

for any constant

- #3

Castilla

- 241

- 0

Oh god, it was so easy...thanks, Greg.

Castilla

Castilla

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