**Find the antiderivative F(x) with F′(x)=f(x) and F(0)=2**

**f(x)=−7x F(x)=________**?

**Answer:**

F(x) = (-7/2)x^2 + CONSTANT

where F(0) = 2

2 = (-7/2)0^2 + CONSTANT

or

2 = 0 + CONSTANT, so CONSTANT = 2

F(x) = (-7/2)x^2 + 2

**Find the antiderivative F(x) with F′(x)=f(x) and F(0)=2**

**f(x)=−7x F(x)=________**?

**Answer:**

F(x) = (-7/2)x^2 + CONSTANT

where F(0) = 2

2 = (-7/2)0^2 + CONSTANT

or

2 = 0 + CONSTANT, so CONSTANT = 2

F(x) = (-7/2)x^2 + 2