Approximate the Integral $\int _ { 1 } ^ { 2 } e ^ { 1 / x } d x$

Short Answer

Approximate the integral $\int _ { 1 } ^ { 2 } e ^ { 1 / x } d x$ using (a) the trapezoidal rule and (b) Simpson's rule, both with 6 subintervals. Round your answer to five decimal places.