Matlab

Numerical integration a. Create a vector x of 50 evenly space values between 0 and pi b. Calculate y = sin(x) c. Calculate the exact analytical integral of y = sin(x) from 0 to pi d. Calculate the trapezoidal approximation of the area under y = sin(x) from 0 to pi e. Calculate the quadrature approximation of the area under y = sin(x) from 0 to pi