Approximate the Integral $\int _ { 0 } ^ { 1 } e ^ { x ^ { 2 } } d x$

Short Answer

Approximate the integral $\int _ { 0 } ^ { 1 } e ^ { x ^ { 2 } } d x$ using (a) the trapezoidal rule and (b) Simpson's rule, both with 4 subintervals. Round your answer to five decimal places.