AM-2137

Integrating standard functions

A Math · Secondary 4 · Medium · Integrating standard functions

Given

\dfrac{dy}{dx} = (x-2)(x+5)

, find

y

in terms of

x

if the curve passes through the point

(0,4)

.

$y = \dfrac13x^3 + \dfrac32x^2 - 10x + 4$
$y = \dfrac13x^3 + \dfrac32x^2 - 10x$
$y = x^3 + 3x^2 - 10x + 4$
$y = \dfrac13x^3 + \dfrac32x^2 + 10x + 4$

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