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A function f(x) passes through the origin and its first derivative is 3x + 2….

A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?

A.
y = (3x²/)2 + 2x
B.
y = (3x²)/2 + x
C.
y = 3x² + (x/2)
D.
y = 3x² +2x

Correct Answer: Option A

Explanation

Hints:
1. Integrate the given first derivative of f(x) at the boundaries, (0,0)
Then solve accordingly to get f(x) = y = (3x²/)2 + 2x