Numerical methods

For Questions 1-4 below, write computer code in C+ or MATHLAB to estimate

∫ 𝑑𝑥

√𝑥2 − 4

5

3

using the given method. Then calculate the absolute and relative errors for each. Use exact value p =

0.6044:

1. Composite Midpoint Rule with N = 8.

2. Composite Trapezoidal Rule with N = 6.

3. Composite Simpson’s Rule with N = 8.

4. Romberg Integration with N = 4.