Need help with integration

Solve? No.

Expand? Simplify? Transform? Sure, but it depends on what you mean. What is meant by "dyx"?
 
∫x dyx = (∫x dy)x? = (xy)x+c = x2y + c
If it was indeed (xdy)x\displaystyle \left(\int x dy\right)x and x and y are independent variables then the integral is (xy+c)x=x2y+cx\displaystyle (xy+ c)x= x^2y+ cx.

That was Dr. Peterson's point.
 
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