Question

Find the antiderivative of the function:

y = 1 - 3x² - 6x

Answer 1

\(\int ydx = \int(1 - 3x^2 - 6x)dx \)

\(= x -3\left(\frac{x^3}3\right)- 6 \left(\frac {x^2}2 \right)+ C\)

\(= x - x^3 - 3x^2 + C\)