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

Use of random function - c program , Use of random function: int main(...

Use of random function: int main(void) {    int i,j;         for(j=0;j       {      // randomize();       for(i=0;i                  printf("%d\n", ran

What operators can or cannot be overloaded?, A: Mostly can be overloaded. T...

A: Mostly can be overloaded. The only C operators which can't be are. and?: (and sizeof, that is technically an operator). C++ adds a few of its own operators, mostly which can be

Bus Connection, how to explain working of bus connection

how to explain working of bus connection

C program to replace every occurrence of in a string, Program is to replace...

Program is to replace every occurrence of in a string: Program is to replace every occurrence of c1 in string with c2 and have function return the no. of replacement int re

Type compatibility, Define  T y pe c o m p a t i b i li t y? ...

Define  T y pe c o m p a t i b i li t y? T o a s s i g n i n t t o s m a l l i n t t h e v a r i a b l e should b e

2, how to do 2, 4, 8 associativity

how to do 2, 4, 8 associativity

Padovan string, A Padovan string P(n) for a natural number n is defined as:...

A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation. For a string of t

Define some features of static storage class in c program, Define some feat...

Define some features of static storage class in c program? The features of a variable defined to contain a static storage class are as follows. Storage - memory Default

What is mime, What is MIME? MIME - Multi-purpose Internet Mail Extens...

What is MIME? MIME - Multi-purpose Internet Mail Extensions. MIME types signifies a standard way of classifying file types over Internet. Browsers and Web servers have

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