Question

State the definition of the indefinite integral of an integrable function f.

Short answer

The indefinite integral of a continuous function f is defined to be the family of antiderivatives $\int f\left(x\right).dx=F\left(x\right)+C$ where Fis an antiderivative of f, that is, a function for which $F\text{'}=f$.

Step-by-step solution

Step 1.Given Information.

The function f.

Step 2. Definition of indefinite integral.

The indefinite integral of a continuous function f is defined to be the family of antiderivatives $\int f\left(x\right).dx=F\left(x\right)+C$ where Fis an antiderivative of f, that is, a function for which $F\text{'}=f$.