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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
Explain Rules for constructing variable names? The Rules for constructing variable names : a) A variable name is any combination of alphabets, 0 to 9 digits and undersc
#padovan string in java program in java // aakash , suraj , prem sasi kumar kamaraj college program 1 : package test.padovanstring; public class PadovanStrin
Aim: To implement a program to allocate memory dynamically for 2 dimensional array (accept and print matrix) using pointers. Code: #include #inc
i want this topic related programm
Write a function that takes in a radius and evenly covers the screen with circles of that radius. Don't attempt to draw any circles that are completely off the screen.
P o i n t er s to Members: In C a pointer is created to locate the address of another variable for faster access. Consider the following example. int x, *p; p =
# include stdio.h> # include string.h> # include conio.h> void main() { int i=0,count=0; char a[100],b; clrscr();
Problem Description Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new techn
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(a) Write a procedure called (add x y) that adds two numbers in a recursive manner. Specifically, note that x + y = (x + 1) + (y - 1) and x + 0 = x. (b) Using the substitution m
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