Find a number n of subintervals for simpsons rule

Question

1. Use the Trapezoidal approximation T_n with n = 4 to approximate ₁∫⁵ (1/x) dx.

2. Find a number n of subintervals for Simpson's rule approximation in a

3. a. Is there a value of p such that the improper integral Integral ₀∫^+∞ (1/x^p) dx converge? Why?

b) Determine if the improper integral integrate ₁∫^+∞ (1/(x⁴ + x² + 1)) dx converges or diverges.