Area of a Region Symmetric About the y-Axis
If:
$$f(-x)=f(x)$$
then:
$$A=2\int_0^af(x)\,dx$$
Usage
- Used to calculate symmetric areas by integrating over only half the region.
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CAT Formulas
Indefinite Integration
Area of a Region Symmetric About the y-Axis
Area of a Region Symmetric About the y-Axis
If:
$$f(-x)=f(x)$$
then:
$$A=2\int_0^af(x)\,dx$$
Usage
- Used to calculate symmetric areas by integrating over only half the region.
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