I'm pretty sure you made some typing mistakes or something when you asked this question, it doesn't look like a usual question. I will solve it anyways though.
Integral of ax^n = (a/n+1)x^(n+1).
In "y", a=1 and n=1.
Putting those values into that magic integrals formula, you get:
(1/2)y^2 + Constant.
So there you go, the integral of "y" is;
0.5y2 + C.
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Do you mean the Convolution Integral?
The integral of -x2 is -1/3 x3 .
2 2x makes no sense. If you meant the integral of 2x, it is x2 + C. If you meant the integral of 4x, it is 2x2 + C. If you meant the integral of 2x2, it is 2/3 x3 + C.
Im still taking Integral Calculus now, but for me, if you dont know Differential Calculus you will not know Integral Calculus, because Integral Calculus need Differential. So, as an answer to that question, ITS FAIR