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Differentiating an Integral Equation
If:
$$F(x)=\int_a^xf(t)\,dt$$
then differentiating gives:
$$F'(x)=f(x)$$
Usage
- Used to convert certain integral equations into ordinary differential equations or direct functional equations.
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Differentiating an Integral Equation
If:
$$F(x)=\int_a^xf(t)\,dt$$
then differentiating gives:
$$F'(x)=f(x)$$
Usage
- Used to convert certain integral equations into ordinary differential equations or direct functional equations.
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