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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
develop an algorithm using pseudocode for computing cos(x) and sin(x). use a sentinel controlled while loop. use the series definition of e^+-jx
Define T y pe c o m p a t i b i li t y? T o a s s i g n i n t t o s m a l l i n t t h e v a r i a b l e should b e
Question Write a program using c++ for the above function , at a= 1000, b=10 -3 ,10 -2 ,10 -4
program to check whether a given point lies inside a rectangle or not
Operators The variables, which are declared and explained, are the operands, which are operated upon by the operators. Operators specify what operations are to be performed on
1. The shell must support the following internal commands: i. cd - Change the current default directory to . If the argument is not present, report the current directory. If t
Insertion sort - C program: Write a program in c to define a insertion sort. void main() { clrscr(); int a[100],ch,n; cout cin>>n; for (int i=0
program with coding
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.
A more advanced data type is the structure; here we can define a template as a collection of different variables e.g. struct birthdate { int month; int day;
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