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Riemann-Stieltjes integral $\int\limits_a^b f(x) \, \mathrm{d}g = \frac{\log ^2(n)}{2 \log (10)}|_a^b$
I'm having trouble with this integral:
$\int\limits_a^b f(x) \, \mathrm{d}g = \frac{\log ^2(n)}{2 \log (10)}|_a^b$
If I want to find the product such:
$10^m.10^{m+1}...\leq n$
so for example for $...
- 1,379
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1
answer
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An interpretation of the Riemann-Stieltjes integral
Suppose we have an Stieltjes integral $h=\int f dg$ then use the fundamental theorem to get $dh=fdg$ and divide by $dg$ i.e $\frac{dh}{dg}=f$.
Is this meaningful and if so does anyone know any ...
user415535
2
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How does Volume work with integration?
Using a cross section suppose, as described here: Area formula Paul Notes
Suppose this is: $y = f(x)$.
He says the volume is:
$$\int_{a}^{b} A(x) dx$$
But how does area over that interval give ...
- 11.2k