area under curve, JAVA Programming

Assignment Help:

write a program to find the area under thecurve 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 beteen 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

Difference among microprocessors and microcontrollers, What is the differen...

What is the difference among microprocessors and microcontrollers? Give one example of both? The microprocessor is electronic equipment that can perform various functions and a

Illustrate the method to print on the GUI, Illustrate the method to print o...

Illustrate the method to print on the GUI Example Code: Taking Input / Output So far, we learned how to print something on console. Now time has come to learn how to print

Design a program for robot, Assume all the obstacles are of height 4 units ...

Assume all the obstacles are of height 4 units and the blocks are of heights 1 (bottom), 2 (top), 1 and 2 (top) units respectively.  Complete the control() method of the RobotContr

Program to calculates the number of unique shapes, 1. Write the code for th...

1. Write the code for the method that calculates the number of unique shapes for a binary search tree with n nodes. Use the formula  where b n is the number of possible sh

Give an example for passing arguments to methods, Give an example for Passi...

Give an example for Passing Arguments to Methods ? class Car { String licensePlate = ""; // e.g. "New York 543 A23" double speed = 0.0; // in kilometers per h

Develop a cityinfo mobile application, INTRODUCTION Mobile computing is ...

INTRODUCTION Mobile computing is everywhere. Even as an increasing population of the world are now using mobile phones, and mobile phone (or smartphone) applications, there is a

Use the constructor, Can we use the constructor, instead of init(), to init...

Can we use the constructor, instead of init(), to initialize servlet? Ans) Yes. Of course you can use the constructor instead of init(). There's nothing to stop you. But you sho

What is heuristic, What is heuristic? Heuristic is a procedure which co...

What is heuristic? Heuristic is a procedure which commonly, but not always, works or that provides nearly the right answer.

Simple Program in Java, Write a programme to create a webpage that prints t...

Write a programme to create a webpage that prints the name of the STUDENT database in Wide Latin font and set the subtitle with description of the STUDENT to the screen. Set the pa

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