AM-2128

Integrating standard functions

A Math · Secondary 4 · Medium · Integrating standard functions

Given

\dfrac{dy}{dx} = (x+1)(x-3)

and the curve passes through the point

(2,5)

, find the equation of the curve.

$y = \dfrac{1}{3}x^3 - x^2 - 3x + \dfrac{37}{3}$
$y = \dfrac{1}{3}x^3 - x^2 - 3x + \dfrac{17}{3}$
$y = \dfrac{1}{3}x^3 - x^2 + 3x + \dfrac{31}{3}$
$y = x^3 - x^2 - 3x + \dfrac{31}{3}$

Sign in to check your answer and see the hint and the worked explanation. Free on PrepLab High.

Loading problem…