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I need to solve math problem by using freemat or mathlab program. However, I can't understand...

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Advance Math

I need to solve math problem by using freemat or mathlabprogram. However, I can't understand how to make a code it.
This is one example for code ( freemat )

format long

f = @(x) (x^2) % define f(x) = x^2
a=0
b=1
N=23
dx = (b-a)/N % dx = delta_x

1. Methods:

(a) Left Rectangular Rule also known as Lower sum.

(b) Right Rectangular Rule also know as upper sum.

(c) Midpoint Rule

(d) Trapezoid Rule

(e) Simpson Rule

2. Evaluate

Integral {4/(x^2 + 1)} (Upper bound 1 Lower bound 0)

Answer & Explanation Solved by verified expert
3.9 Ratings (652 Votes)
1 a Left Rectangular Rule The left rectangular rule is the sum given byfor the partitionwhereIn case of uniform partition size wehaveCreate a MATLAB function file calledLeftRectangularRulem and paste the code givenbelowfunction L LeftRectangularRulefabnLEFTRECTANGULARRULE Approximate the integral value using LeftRectangle Rule Input f Function handle of the integrand fx a Lower limit of integeration b Upper limit of integeration n Number of partitions of interval ab Output L Left Rectangle Rule Approximation of integral Calculate the step    See Answer
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