Problem 1 (Integration) Evaluate the following integral π 4 I = 100x√√x+(sin x)²dx a) Using Trapezoidal rule with at least 3 segments b) Using Simpson's 1/3 rule (use more than two segments) c) Using Simpson's 3/8 rule (use more than three segments) d) Using Gauss quadrature method with 4 points. e) Using Matlab's symbolic tool box.