a1 2 3S dx4 5 x

Apuntes

• Subtopic: Integral of a function involving S and x The integral is: \[ a) \int \frac{S \, dx}{x} \] This represents the integral of \( \frac{S}{x} \) with respect to \( x \). If \( S \) is a constant, the integral simplifies to \( S \) times the natural logarithm of \( x \), i.e., \[ \int \frac{S}{x} \, dx = S \ln |x| + C \] where \( C \) is the constant of integration.