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.
The area under a curve between two points can be found by doing a definite integral between the two points.

 

#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

Return values, What is the purpose of return values? Can you not return any...

What is the purpose of return values? Can you not return any values from a function? If you could what would he function look like?

Pointer declaration for member function, P o i n t e r d...

P o i n t e r d e c l a r a t i o n f o r me m b e r f un c t i o n : M e t h o d 1 : W h e n C l a ss i s n o t

Smuggler, Smugglers are becoming very smart day by day. Now they have devel...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

Looping, For Loop with inner loop

For Loop with inner loop

What is the main advantage to using a data file, Problem: (a) What is ...

Problem: (a) What is the main advantage to using a data file? (b) What is meant by opening a data file? How is this accomplished? Illustrate your answer clearly with a sui

Star, how can i print any english work using star .?

how can i print any english work using star .?

Program, fine the class bankAccount to implement the basic properties of a ...

fine the class bankAccount to implement the basic properties of a bank account. An object of this class should store the following data: Account holder''s name (string), account nu

C program for removing char which u want, C Program for REMOVING CHAR WHICH...

C Program for REMOVING CHAR WHICH U WANT void main() {           int i,j;           char a[100],r;           clrscr();           for(i=0;i

Padovan.., count the number of string in n-th padovan string

count the number of string in n-th padovan string

What difficulty does the namespace feature solve out?, A: Multiple provider...

A: Multiple providers of libraries might employ common global identifiers causing a name collision whereas an application attempt to link with two or more such libraries. The names

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