Consider the definite integral Z 1 0 e^4x^2 dx. Evaluate using the Simpson’s rule (n = 8), and using the Trapezoidal rule (n = 7). show all work

Question

Consider the definite integral Z 1 0 e^4x^2 dx. Evaluate using the Simpson’s rule (n = 8), and using the Trapezoidal rule (n = 7). Show all work

Answer 1

Simpson's Rule Calculator: https://www.emathhelp.net/en/calculators/calculus-2/simpsons-rule-calculator/?f=%28e%5E4%29%28x%5E2%29&a=0&b=1&n=8

Trapezoidal Rule Calculator: https://www.emathhelp.net/en/calculators/calculus-2/trapezoidal-rule-calculator/?f=%28e%5E4%29%28x%5E2%29&a=0&b=1&n=7

Each one shows steps.