## anonymous 5 years ago determine the indefinite integral at the point (2,6) if the formula for the slope is given as : -2x to the power of 3 -4x +2

1. anonymous

Do you mean,$\int\limits_{}{}-2x^3-4x+2dx$?

2. anonymous

If so, all you do is integrate to obtain the family of solutions,$y=-\frac{2x^4}{4}-\frac{4x^2}{2}+2x+c$that is$y=-\frac{x^4}{2}-2x^2+2x+c$At the point (2,6), you'd have$6=-\frac{2^4}{2}-2(2)^2+2(2)+c$

3. anonymous

Solve for c: c = 18

4. anonymous

$-\frac{x^4}{2}-2x^2+2x+18$is your integral.