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+//           Case Study:Chapter-9[page no:310]

+//        1.Calculation of Area under a Curve

+funcprot(0);

+ //global variables

+ global start_point

+ global end_point; 

+ global total_area;

+ global numtraps;

+function[]=input1()

+    global start_point;

+     global end_point; 

+     global total_area;

+     global numtraps;

+    total_area=0;

+    start_point=input("Enter lower limit:");

+    end_point=input("Enter upper limit:");

+    numtraps=input("Enter number of trapezoids:");

+endfunction

+function[total_area]=find_area(a,b,n)

+    global total_area;

+    base=(b-1)/n;                  //base is local variable 

+    lower=a;                       //lower is local variable

+    for lower=a:(lower+base):(b-base)

+        h1=function_x(lower);

+        h2=function_x(lower+base);

+        total_area=total_area+trap_area(h1,h2,base); //total area is calculated

+    end

+endfunction

+function[area]=trap_area(height_1,height_2,base)

+    area =0.5*(height_1+height_2)*base;     //area is local variable

+endfunction

+function[x] =function_x(x)

+    x=(x^2)+1;

+endfunction

+

+//calling functions

+disp("AREA UNDER CURVE");

+input1();                           //calling input1() function

+total_area=find_area(start_point,end_point,numtraps);//calling find_area() function

+printf("TOTAL AREA = %f",total_area);
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