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Integration and Differentiation

Can anyone show me the steps and explain integration of : 2-x

Integrate dy/dx=2-x
y=2x-(x^2)/2
y=2x-(1/2)x^2+c

To integrate first you add one to each power of X (so x becomes x^2 and x^3 becomes x^4, and constants gain an x
Then you divide each term by its new power.
Finally you add +c to the end of the equation, as differentiating removes any constants from the original equation, and integrating is the inverse of differentiating. Some questions may give you a point on the curve and ask you to work out C. If the question is about working the area under a curve, you do not need the plus c.