area under curve, C/C++ Programming

Assignment Help:

Write a 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.

 

 

#include 
float
    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


Related Discussions:- area under curve

Vectors, A body which has three forces acting on it is in equilibrium. One ...

A body which has three forces acting on it is in equilibrium. One force is 3N to the North and the other is 4N to the west. What us the magnitude and direction of the third force?

Introduction of computer and programming concept, Classify computer system ...

Classify computer system according to capacity. How they are different from computers according to the classification of technology. Provide comparative study also.

C++, Write a c++ program to find the sum of 0.123 ? 103 and 0.456 ? 102 and...

Write a c++ program to find the sum of 0.123 ? 103 and 0.456 ? 102 and write the result in three significant digits.

What do you signify by stack unwinding?, A: this is a procedure during exce...

A: this is a procedure during exception handling while the destructor is called for all local objects in the stack among the place where the exception was thrown & where this is ca

Matrices, write a c program that multiplies 3 martices

write a c program that multiplies 3 martices

Program, write a c++ program which finds minimum of three numbers

write a c++ program which finds minimum of three numbers

Keywords in cpp, Define Keywords in C++ K e y w o r d s: ...

Define Keywords in C++ K e y w o r d s: K e y w o rd s a r e t h e w o rd s a l r e a d y u s e d b y C + + i n i t s c

What is a union how does it differ from a structure, Question : (a) (i)...

Question : (a) (i) What is a structure member in C? What is the relationship between a structure member and the structure? (ii) How can structure variables be declared in C?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd