Write a program to perform the numerical integration of finding the area of a quarter circle as follows. The area of a small strip of width dx at a distance x from the center is given as dx*h. If we...

Write a program to perform the numerical integration of finding the area of a quarter circle as follows. The area of a small strip of width dx at a distance x from the center is given as dx*h. If we integrate the area for x = 0 to x = R, we get the area of the quarter circle. h can be expressed in terms of x and R. The integration of area dx*h can be implemented as a summation with x incremented as x = x + dx. Implement this procedure in a MATLAB program, in which the user inputs the radius R and the increment dx. The program should finally display the error in the computed result based on the actual value of area (p*R2 /4). Observe the variation of computed area with respect to the increment dx.