Mathematics

Problem

Let

g(x)=\dfrac{1}{x}

for

x

in the closed interval

[1,6]

. The interval is divided into five equal subintervals. (a) Calculate the width

\Delta x

of each subinterval. (b) Using left endpoints, compute the Riemann sum

L_{5}

that approximates

\displaystyle \int_{1}^{6} g(x)\,dx

. Round your answer to three decimal places. (a) — see stem