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## Homework Statement

Find the area of the region enclosed by y = [tex]\sqrt[3]{x}[/tex], the tangent line to this curve at x = 8, and the y-axis.

## Homework Equations

Definate integral properties, fundamental theorem of calculus

## The Attempt at a Solution

I know and understand what the question is asking for--find the area of the region--i'm just having problems actually finding the region I need to calculate. I can't seem to figure out what they want through the tangent line; do I need to simply take the derivative of [tex]\sqrt[3]{x}[/tex] and use it, plug in x=8 into the derivative and then use it, or do something completely different? Any help you can guys can give to point me in the right direction here would be greatly appreciated, thanks in advance.