Area Between Symmetric Curves
If:
$$f(-x)=g(x)$$
then:
$$\int_{-a}^{a}|f(x)-g(x)|\,dx=2\int_0^a|f(x)-g(x)|\,dx$$
Usage
- Used when the region has symmetry about the $$y$$-axis.
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CAT Formulas
Indefinite Integration
Area Between Symmetric Curves
Area Between Symmetric Curves
If:
$$f(-x)=g(x)$$
then:
$$\int_{-a}^{a}|f(x)-g(x)|\,dx=2\int_0^a|f(x)-g(x)|\,dx$$
Usage
- Used when the region has symmetry about the $$y$$-axis.
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