Question

已知多项式函数f(x)的导函数f′(x)=x²+4x,f(-3)=10,求f(x)

Answer 1

f(x) = ∫ f'(x) dx = x³/3 + 2x² + c

f(-3) = -9 + 18 + c = 10

c = 1

f(x) = x³/3 + 2x² + 1