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

., what is polymorphism

what is polymorphism

How many non-boundary pits and peaks are on the map, Armed with your functi...

Armed with your function from above, we can do some interesting things. For instance, any pixel where the offsets are both zero is a pit (lower than all surrounding points) .

C program to replace every occurrence of in a string, Program is to replace...

Program is to replace every occurrence of in a string: Program is to replace every occurrence of c1 in string with c2 and have function return the no. of replacement int re

Need discrete math tutor, Project Description: I will need a tutor that ...

Project Description: I will need a tutor that would help me out in Data Structure and learning Algorithm more at the mathematical/algorithmic level. The book is written by "by T

Tells the operators one can override; which operators , Q:  Tells the opera...

Q:  Tells the operators one can override; which operators should he override? A: Bottom line: don't puzzle your users. Remember the reason of operator overloading: to decreas

Define some features of register storage class in c program, Define some fe...

Define some features of register storage class in c program? The feature of variable defined to be of register type all as follows: Storage - CPU registers Default initia

C++, superposition of two waves

superposition of two waves

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