
how to draw it?
On the test I was asked to calculate the area of a region bounded by:
$\displaystyle x=0$
$\displaystyle y=0$
$\displaystyle x=1$
$\displaystyle y={1 \over \sqrt[3]{x^2}}$
What's the easiest way to draw the latest line on the graph? Surely, at home I can use calculator to calculate y for x'es, or even Wolfram Alpha to do whole work for me, but during tests we are not allowed to use any of them.

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Hello Plato!
As I said before  it's easy to plot this graph on the computer, but what is the method of doing it on paper without calculator in the fastest way?

The same way you graph anything. Make a list of x values between 0 and 1, calculate the corresponding y values, plot the points, and draw a smooth curve through them.

ok, but how can I find cube root of, let's say, 1/4?
