How to make an adjusting height integral sign

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Karol
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$$\left \int \frac{dy}{y^{1/3}} \right.$$
Doesn't work.
There also was an examples page in your site, i don't find it
 
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\int is not a delimiter, so it doesn't work with \left. It normally exists in two sizes, depending on whether the equation is displayed or inline. Why do you want to tweak its size?
 
Because there's a fraction inside, but thanks for the answer