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Splitting an Integral at Zeros
If:
$$f(c)=0$$
for $$c\in(a,b)$$, then:
$$\int_a^b|f(x)|\,dx=\int_a^c|f(x)|\,dx+\int_c^b|f(x)|\,dx$$
Usage
- Used to handle absolute values when the sign of the integrand changes.
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Splitting an Integral at Zeros
If:
$$f(c)=0$$
for $$c\in(a,b)$$, then:
$$\int_a^b|f(x)|\,dx=\int_a^c|f(x)|\,dx+\int_c^b|f(x)|\,dx$$
Usage
- Used to handle absolute values when the sign of the integrand changes.
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