Answer:
F(x) = [tex]\frac{x^3}{3} - \frac{7x^2}{2} + 5x + c[/tex]
Step-by-step explanation:
The antiderivative of a function (also called the integration of a function) is the reverse of the differentiation of that function. Given a function f(x), its integration, F(x), can be calculated as follows;
F(x) = [tex]\int\limits{f(x)} \, dx[/tex]
From the question, f(x) = x² - 7x + 5
Therefore,
F(x) = [tex]\int\limits {(x^2 - 7x + 5)} \, dx[/tex]
F(x) = [tex]\frac{x^3}{3} - \frac{7x^2}{2} + 5x + c[/tex]
Where c is the constant of the integration (antiderivative).
PS: The constant of integration is used for indefinite integrals and allows to express integration of a function in its most general form.
