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Find the total area between the region and the $x$ -axis. $$y=x^{1 / 3}-x, \quad-1 \leq x \leq 8$$...

Question

Find the total area between the region and the $x$ -axis. $$y=x^{1 / 3}-x, \quad-1 \leq x \leq 8$$

Find the total area between the region and the $x$ -axis. $$y=x^{1 / 3}-x, \quad-1 \leq x \leq 8$$



Answers

Using the Area of a Region Find the value of $a$ such that the area bounded by $y=e^{-x},$ the $x$ -axis, $x=-a,$ and $x=a$ is $\frac{8}{3}$


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