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

Sp, Write a program to find the area under the curve y = f(x) between x = a...

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

Describe faster ++i or i++, A: The answer to this lies actually, how they u...

A: The answer to this lies actually, how they used. Along ++i(PreIncrement) the variable is incremented and new value is returned. Thus it needs one instruction to increment the va

Define external static storage class - computer programming, Define Externa...

Define External Static Storage Class - Computer Programming? An external static is declared outside of all the functions and is obtainable to all functions in that program. The

Find area, #question.to determine the area of a triangle,rectangle and tra...

#question.to determine the area of a triangle,rectangle and trapezium

Msp, A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X...

A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation. For a string of t

Beginning C++ Through Game Progammin, you are to create a text adventure ga...

you are to create a text adventure game that uses pointers. You have a rich, eccentric Uncle Billy who is soon to be deceased. How soon.....oops......he''s gone. He has left yo

Define a structure in c++, Define a structure in C++: Write a program ...

Define a structure in C++: Write a program a structure in c++ program. void main() {                 struct player                 {                 char name[2

Write a program of constructors and destructors, Write a program of constru...

Write a program of constructors and destructors Make a class drugs having encapsulated data for medicine name, whether solid or liquid, price and purpose of use. From this clas

Stack push pop, 2 flowcharts, pseudocode for each (at least 4 algorithms), ...

2 flowcharts, pseudocode for each (at least 4 algorithms), and code for either a stack or a queuestion..

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