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

Described the differences among a c++ struct & c++ class?, Described the di...

Described the differences among a C++ struct & C++ class? A: The default member & base class access specifies are distinct. It is one of the commonly misunderstood aspects of C+

Program that implements a digital clock, Write C code for a program that im...

Write C code for a program that implements a digital clock (HH:MM:SS). The clock includes a two-digit hour indicator HH (00-23), a two-digit minute indicator MM (00-59), and a t

C program for swapping the string, C Program for SWAPPING THE STRING #i...

C Program for SWAPPING THE STRING #include conio.h> #include stdio.h> void main() {           char a[50],temp=0;           int i=0,c=0,c1=0,l=0;           clr

Explain reusability, Reusability  Reusability means reusing code writte...

Reusability  Reusability means reusing code written earlier, may be from some earlier project or from the library. Reusing old code not only saves development time, but also sa

Virtual destructor, What about Virtual Destructor? describe it.

What about Virtual Destructor? describe it.

The car’s measurements are illustrated, The car’s measurements are illustra...

The car’s measurements are illustrated, using two arrays. Array 1 = {L, R, L, R, R, L, R, R, L, R, R, L, R, L, L, R, Z}

Why php is sometimes called as embedded scripting language, Why PHP is some...

Why PHP is sometimes called as embedded scripting language? PHP is a high level language that is used to allow users to write and understand it in human readable form and also

Structures, please answer the question of following Write a function that c...

please answer the question of following Write a function that calculates the number of elapsed days between two dates. For example the days between Feb 3, 1970 and June 21, 1980? B

How do i develop a subscript operator for a matrix class?, Employ operator ...

Employ operator () instead of operator[]. While you have multiple subscripts, the cleanest way to do it is along with operator () instead of with operator[]. The reason is that

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