Question

If dy/dx = x2 + 4, what is the value of y?

A. x3/2 +4x + C
B. x3/2 +2x2 + c
C. 2x + c
D. x3/2 + 4x + c

Answer 1

1) Given dy / dx = x^2 + 4 = y is the function whose derivative is x^2 + 4.

2) y = x^3 / 3 + 4x + constant

Prove d y / dx = 3x^2 / 3 + 4 + 0 = x^2 + 4

Answer: x^3 / 3 + 4x + C