integration question

[glass egret]

Im fine with the process of integration, but i have no idea how to actually solve this question/ what its asking

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[river raptor]

First integrate both sides with respect to x, you would get dy/dx * dx = int(10 - 6x - 4x^2), then antiderivate.

You would get y = ax + bx^2 + C or smth like that.

substitute the given values for x and y (3, -15) and find the value of C.

[river raptor]

then substitute the value of C in this equation.

you will get y in terms of x.

Something like ax + bx^2 + 10.