Consider the integral . Write MATLAB programs to carry out integration by the following methods:

a) Recursive Trapezoidal rule. Determine the number of integration intervals n such that the error estimate guarantees single precision approximation accuracy. A change of variable is required since the integrand is singular at x=0.

b) Simpsons rule. Determine the number of integration intervals n such that the error estimate guarantees single precision approximation accuracy. A change of variable is required since the integrand is singular at x=0.

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