4. myimproperintegral(f,a,tol) which takes three inputs: a: A real number. f: A

ID: 3372640 • Letter: 4

Question

4. myimproperintegral(f,a,tol) which takes three inputs:

a: A real number.

f: A function handle for a function for which the improper integral R %u221E

f(x) dx converges.

tol: A real number assumed to be positive and quite small.

Approximates R %u221E

f(x) dx. The way this should work is as follows: Use a while loop to approximate

R b

f(x) dx using quad for b = a, a + 1, a + 2, ... until successive values di%uFB00er by less than tol.

Returns: The %uFB01nal value.

this is an example of what you should get

5. myintegralapprox(f,a,b,tol) which takes four inputs:

f: A function handle.

a: A real number.

b: A real number assumed to be greater than a.

tol: A real number assumed to be positive and quite small.

Approximates R b

f(x) dx. The way this should work is as follows: Start by setting a variable n = 1.

A for loop on the inside should calculate the midpoint sum using n intervals and a while loop on the

outside should test successive midpoint sums until two successive sums di%uFB00er by less than tol. Each

time the value of n should increase by 1.

Returns: The %uFB01nal value.

this is an example of what you should get

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