Question

What is “an integral of \(f\)” ?

Options

• A constant \(C\) such that \(C'(x)=f(x)\)

• A function \(F\) such that \(F'(x)=f(x)\)

• A function \(f\) such that \(f'(x)=F(x)\)

• A variable \(x\) such that \(x'=f(x)\)

Answer 1

An integral of \(f\) is a function whose derivative equals \(f(x)\). Therefore it is a function \(F\) satisfying \(F'(x)=f(x)\).