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Given that dydx=3x24 ...

Given that dydx=3x24 and y = 6 when x = 3, find the equation for y.

A.

x34x9

B.

x34x+9

C.

x3+4x9

D.

x3+4x+9

Correct answer is A

dydx=3x24

y=(3x24)dx=x34x+c

y = 6 when x = 3

6=334(3)+c6=2712+c

c=615=9

y=x34x9