• (a) Use Trapezoidal Rule with n=8n=8 to approximate the integral 01ex2dx\int_{0}^{1} e^{x^2} dx. Estimate the error involved in this approximation.
  • (b) Use Simpson’s Rule with n=8n=8 to approximate the integral 01ex2dx\int_{0}^{1} e^{x^2} dx. Estimate the error involved in this approximation.
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