* **(a)** Use Trapezoidal Rule with $n=8$ to approximate the integral $\int_{0}^{1} e^{x^2} dx$. Estimate the error involved in this approximation.
* **(b)** Use Simpson’s Rule with $n=8$ to approximate the integral $\int_{0}^{1} e^{x^2} dx$. Estimate the error involved in this approximation.