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

I need csgo wallhack and human aimbot, I need CSGO Wallhack and Human Aimbo...

I need CSGO Wallhack and Human Aimbot Project Description: Need a CSGO hack which can ESP Wallhack and Aimbot realistically. Must be VAC Proof, and ESL proof, as wel

Define procedure to return the sum of the odd elements, (a) Define a proced...

(a) Define a procedure (deep-member x e) that takes a list x and an element e and returns #t if the element e is in the list or in any lists that the list x contains. e.g., (dee

Playback pattern sequences, This task involves creating a new class(es) tha...

This task involves creating a new class(es) that will allow the system to playback pattern sequences using the Neo  Freerunner  hardware. The first thing to note is that the vibrat

How to write an inline class member function, How to write an inline class ...

How to write an inline class member function In addition to global functions, you may request that non-static member functions of a class be inlined.  The normal method of doin

When should you employ multiple inheritance?, Q: When should you employ mul...

Q: When should you employ multiple inheritance? A:There  are  three  acceptable  answers:-  "Rarely," "Never," and  "while  the  problem  domain cannot be modeled accurately any

Conversion operator, What is conversion operator? Explain it with example.

What is conversion operator? Explain it with example.

Lennie, Lennie McPherson, proprietor of Lennie''''s Bail Bonds, needs to ca...

Lennie McPherson, proprietor of Lennie''''s Bail Bonds, needs to calculate the amount due for setting the bail. Lennie requires something of value as collateral, and his fee is 10%

C program for even & odd no in any matrices , C Program for EVEN & ODD NO I...

C Program for EVEN & ODD NO IN ANY MATRICES #include stdio.h> #include conio.h> void main() {           int a[100][100];           int i=0,j=0,r,c,even=0,odd=0;

Solve system of linear equations-gaussian elimination , Write a C function ...

Write a C function to solve the system of linear equations A x = y where A is an N by N matrix in the format of pointer-to-pointers and y is a vector in the format of a pointer. Th

Program of multipication using inline function, Aim: Write a program of mu...

Aim: Write a program of multipication using inline function class Multiply {           int x,y;           public:           void getdata();           inline calc

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