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

Minimum shelf, At a shop of marbles, packs of marbles are prepared. Packets...

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes

Arrays within a class, A r r a y s w i t h i n a c l a s s:...

A r r a y s w i t h i n a c l a s s: I t i s j u s t d ecl a r i n g o r c on s t ru c ti n g a d e r i v e d t

Reverse a string - c ++ program, Reverse a string - C ++ program: Writ...

Reverse a string - C ++ program: Write a program in c to reverse a string. int main() {     Stack theStack;     String reverse("reverse");       cout

Explain access privileges, Access privileges 1. If the designer of the ...

Access privileges 1. If the designer of the base class needs no one, not even a derived class to access a member, then that member should be made private. 2. If the designer

Accounts, Write a program to process bank accounts. Create a base class na...

Write a program to process bank accounts. Create a base class named Account and two derived classes named Savings and Checking. In the base class, use an int AccountNum and a dou

AREA UNDER CURVE, Write a program to find the area under the curve y = f(x)...

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 b

Board coloring, coloring of elements in matrix form inm particular matrix.t...

coloring of elements in matrix form inm particular matrix.the color should not match with another color.

Define array of objects, Array of Objects A class is a template, which ...

Array of Objects A class is a template, which can contain data items as well as member functions to operate on the data items. Various objects of the class can also be declared

What are the benefits of using friend classes, What are the benefits of usi...

What are the benefits of using friend classes? - Friend classes are useful when a class wants to hide features from users which are required only by another, tightly coupled cl

Describe what are dynamic pointers, Question: (a) Describe what are dy...

Question: (a) Describe what are dynamic pointers. Show their memory representations diagrammatically. (b) Write short notes about pointers in arrays, paying attention on

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