Answer
$\int_{1}^{4}\frac{1}{x} dx$
Work Step by Step
By using the definition of the definite integral, P is a partition of [1,4], therefore the lower and upper limits of the integration are 1 and 4. $f(c_{k})=\frac{1}{c_{k}}$ is the function in the additive of the Riemann sums, therefore $f(x)=\frac{1}{x}$. Therefore the solution is: $\int_{1}^{4}\frac{1}{x} dx$.
