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Area Between a Curve and Its Reflection
If the curves are:
$$y=f(x),\quad y=-f(x)$$
and $$f(x)\geq0$$ on $$[a,b]$$, then:
$$A=2\int_a^bf(x)\,dx$$
Usage
- Used for regions symmetric about the $$x$$-axis.
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Area Between a Curve and Its Reflection
If the curves are:
$$y=f(x),\quad y=-f(x)$$
and $$f(x)\geq0$$ on $$[a,b]$$, then:
$$A=2\int_a^bf(x)\,dx$$
Usage
- Used for regions symmetric about the $$x$$-axis.
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