Question

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

Answer 1

antideritiive
antideritive of
`x^n` is
`(x^(n+1))/(n+1)`
antiderititve of a constant is that constant times x
so

antideritive of
`x^2` is
`(x^(2+1))/(2+1)=(x^(3))/(3)`
andtideritivee of 4 is 4x

total is

`y= (x^3)/(3)+4x+C`

D is answer