Integral of a Function with Period $$t$$ Over Half-Shifted Intervals

Rarely Tested

Integral of a Function with Period $$t$$ Over Half-Shifted Intervals

If:

$$f(x+T)=f(x)$$

then:

$$\int_a^{a+T}f(x)\,dx=\int_{a+c}^{a+c+T}f(x)\,dx$$

Usage

- Used to shift the interval to a more convenient location.

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