Area of a Region Symmetric About the x-Axis
If the upper and lower boundaries are:
$$y=f(x),\quad y=-f(x)$$
then:
$$A=2\int_a^bf(x)\,dx$$
Usage
- Used when the enclosed region is symmetric about the $$x$$-axis.
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CAT Formulas
Indefinite Integration
Area of a Region Symmetric About the x-Axis
Area of a Region Symmetric About the x-Axis
If the upper and lower boundaries are:
$$y=f(x),\quad y=-f(x)$$
then:
$$A=2\int_a^bf(x)\,dx$$
Usage
- Used when the enclosed region is symmetric about the $$x$$-axis.
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