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In order to find the area bounded by a curve and the horizontal axis, we must integrate the curve between the specified limits.

Firstly we must integrate the curve x^2-2x+3. To integrate ...

At the point where the line crosses the x axis, y=0

3x^2+7x-6=0

(3x-2)(x+3)=0

3x-2=0 or x+3=0

giving x=2/3 and x=-3

so the line cro...

use the chain rule on the y^2 term to get 2y*(dy/dx)

hence the overall solution is 2x + 2y*(dy/dx)