Using Mathematica

I am new to Mathematica and did derive the answer to the following but I can not get the information as to the steps taken to derive it. I am using the trapezoidal and Simpson's rules to evaluate S20 x2 dx ( the S should be the variant symbol) Compare with exact value. My answer is 8/3 but I can not get Mathematica to show me the steps it took to derive the answer. In my homework assignment I must show the steps plus it does not help me not to understand the process. Can you assist in A) filling in the steps and B) what I need to do to have Mathematica show me the steps

bisection and newton methods

I have a quation in numerical analysis subject.you have to use the matlab software to solve it. Q Using the bisection method, find the positive root of 2x(1 + x^2)^-1 = arctan x. Using this root as x0; apply Newton's method to the function f(x) = arctan x: Interpret the results you obtain.

MATLAB and floating-point arithmetic

The problem is in the attachment. Thank you.

Orthogonal Polynomials

See PDF attachment!

Approximation of Functions: Solve the minimization problem and determine whether there is a unique value of alpha the gives the minimum?

See PDF attachment!