Question

anti derivative of 5/(x^2) -7/(x^3) + 9/(x^4)

Answer 1

30Question 31382

Anti-derivative of function is an indefinite integral of that function. Hence, $F = \int \left( \frac{5}{x^2} - \frac{7}{x^3} + \frac{9}{x^4} \right) dx$ .

Knowing table integral $\int x^n dx = \frac{x^{n + 1}}{n + 1} +C$ , obtain that the anti-derivative is $F = \frac{-5}{x} +\frac{7}{2x^2} -\frac{3}{x^3} +C$