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

Destruction of array object, What's the order that objects in an array are ...

What's the order that objects in an array are destructed? Need assistance please explain it with example.

How to write Bernoulli''s principle, compose a C program to solve the equat...

compose a C program to solve the equation z2=(p1/Pg)+(v1^2/2g)+z1 p1=100kpa,v1=2m/s z1=3m P=1000kg/m^3 define g=9.81

C program for bank account, Aim: To implement a program for bank account u...

Aim: To implement a program for bank account using static data type. Code: class bank {             static int acc_no;             int acc;             float b

M - algorithm corrections, Of course it is C[i] = A[i] + B[i].It was a typi...

Of course it is C[i] = A[i] + B[i].It was a typing mistake,never mind. You just understand the concept. 27-1 b. for grain-size=1 n=A.length grain-size=1 r=n for

C program for function of average, C program for function  of average ...

C program for function  of average int average(int); void main() {           int max=0,c=0;           clrscr();           printf("ENTER THE LIMIT OF INPUT FOR AV

Explain quick sort and tree sort, Question 1 Explain Abstract data types w...

Question 1 Explain Abstract data types with its characteristics Question 2 Let us say your Learning Centre decides to store all the three types of student data Register

Luminous Jewels - The Polishing Game, First line starts with T, number of t...

First line starts with T, number of test cases. Each test case T contains a necklace (N).

Arrays, how to write a program using arrays

how to write a program using arrays

Recursion, Solve the Nine Queens problem recursively. The objective is to p...

Solve the Nine Queens problem recursively. The objective is to place nine queens on an empty chessboard so that no queen is “attacking” any other, i.e., no two queens are in the sa

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