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Marginal Revenue with definite integral

Hello,

I was given a graph of a marginal revenue function which i have attached. (If for some reason it does not come up, these are main points on the graph (0,100), (500,0) and (1000,-100).)

The first thing i needed to do is find the equation of the marginal revenue function

What i have done so far:

found slope which is -0.2

y intercept is 100

Therefore marginal revenue function is R'(x)=--0.2x + 100

However my prof tells me she wants me to find it as a definite integral with limit 0 to 1000.

Would I start the integral as

∫(100 - 0.2x)dx [0,1000]

and finish with

= 100x -0.1x^2 + C [0,1000]