For the curve Y = -5x4 + 50x3 – 145x2 + 150x

Ive made a table for X and Y values and sketched the graph of the profile.

Then it asks me to write and expression for the area under the curve as an integral. My tutor helped me with the below answer which I just about grasp but I just wanted to know if theres anything else I need to include,

sorry, I know the integral sign isn't correct, I just used a bracket thing instead.

Area under the curve = } ab ydx

Area under the curve = } 06 (-5x4 + 50x3 – 145x2 + 150x)dx