Area Between Symmetric Curves

Rarely Tested

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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