Area Under a Parabola

Rarely Tested

Area Under a Parabola

For:

$$y^2=4ax$$

the area bounded by the parabola, its axis and the ordinate at $$x=x_1$$ is:

$$A=\frac{4}{3}\sqrt{a}\,x_1^{3/2}$$

Usage

- Used to calculate the area under a standard parabola up to a specified ordinate.

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