dematrusenoch92
dematrusenoch92 dematrusenoch92
  • 07-02-2017
  • Mathematics
contestada

If dy/dx = X2 + 4, What is the value of y?

A. 2x +C

B. x3/2 +4x + C

C. X3/2 +2x2 +C

D.x3/3 + 4x + C

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 07-02-2017
antideritiive
antideritive of [tex]x^n [/tex] is [tex] \frac{x^{n+1}}{n+1} [/tex]
antiderititve of a constant is that constant times x
so

antideritive of [tex]x^2 [/tex] is [tex] \frac{x^{2+1}}{2+1}=\frac{x^{3}}{3} [/tex]
andtideritivee of 4 is 4x

total is
[tex]y= \frac{x^3}{3}+4x+C [/tex]

D is answer
Answer Link

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