area under the curve, C/C++ Programming

Write a c++ program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can be found by doing a definite integral between the two points.


    start_point,            /* GLOBAL VARIABLES */

end_point, total_area; int numtraps; main( ) { void input(void ); float find_area(float a,float b,int n); /* prototype */
print(“AREA UNDER A CURVE”); input( ); total_area = find_area(start_point, end_point, numtraps); printf(“TOTAL AREA = %f”, total_area); } void input(void ) { printf(“\n Enter lower limit:”); scanf(“%f”, &start_point); printf(“Enter upper limit:”); scanf(“%f”, &end_point); printf(“Enter number of trapezoids:”); scanf(“%d”, &numtraps); } float find_area(float a, float b, int n) { float base , lower, h1, h2; /* LOCAL VARIABLES */
float function_x(float x); /* prototype */
float trap_area(float h1,float h2,float base );/*prototype*/
base = (b-1)/n; lower = a; for (lower =a; lower <= b-base ; lower = lower + base ) { h1 = function_x(lower); h1 = function_x(lower + base ); total_area += trap_area(h1, h2, base ); } return (total_area); float trap_area(float height_1,float height_2,float base ) { float area; /* LOCAL VARIABLE */
area = 0.5 * (height_1 + height_2) * base ; return (area); } float function_x(float x) { /* F(X) = X * X + 1 */
return (x*x + 1); } Output AREA UNDER A CURVE Enter lower limit: 0 Enter upper limit: 3 Enter number of trapezoids: 30 TOTAL AREA = 12.005000 AREA UNDER A CURVE Enter lower limit: 0 Enter upper limit: 3 Enter number of trapezoids: 100 TOTAL AREA = 12.000438

Posted Date: 9/1/2012 2:43:30 AM | Location : United States

Related Discussions:- area under the curve, Assignment Help, Ask Question on area under the curve, Get Answer, Expert's Help, area under the curve Discussions

Write discussion on area under the curve
Your posts are moderated
Related Questions
Aim: To implement a program to add two polar coordinates using operator overloading. Code:                       #define PI 3.14 class polar {             double

Syntax rules for writing constructor functions Its name must be similar as that of the class to which it belongs. It is declared with no return type (not even void). Ho

A: The inline keyword tells the compiler to substitute the code in the function de_nition for each instance of a function call. Though, substitution takes place only at the compile

Asks the user for an integer. if the number is less than 21, ask them for a number again; repeat this until you get a number bigger than 20. 20 is not an acceptable number. Once yo

We can combine more than one variable on the same line i.e.   float number1,number2,number3; etc Sometimes we want to mix the variable types used on the same line, this could

how can i print any english work using star .?

Type Casting Implicit type conversions, as allowed by the language, can lead to errors creeping in the program if care is not taken. Thus, explicit type conversions may be used

Program is to reverse the names stored in an array pointer: Program is to reverse the 6 names stored in an array pointer as name[] void main()   {  clrscr();  char