area under curve , Computer Engineering

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


    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

Posted Date: 9/2/2012 2:18:54 AM | Location : United States

Related Discussions:- area under curve , Assignment Help, Ask Question on area under curve , Get Answer, Expert's Help, area under curve Discussions

Write discussion on area under curve
Your posts are moderated
Related Questions
Explain importance of the different types of distributing frames used in exchanges. Here MDF = main distribution frame; MF = main feeder; FP = feeder point; BF = branch f

voltage,current and power relation in a delta connection

The desired daily output for an assembly line is 360 units. This assembly line will operate 450 minutes per day. The following table have information on this product's task times a

Define nondeterministic TM?  Arbitrarily chooses move when more than one possibility exists Accepts if there is at least one computation that terminates in an acceptin

What is USB USB (UNIVERSAL SERIAL BUS) is intended to connect peripheral devices like mouse, keyboards, modems and sound cards to microprocessor through a serial data path and

Develop a regular expression for Integer and Identifier (i) A regular expression for integer is [+ | -] (d)+ (ii) A regular expression for identifier is l(l | d)*

Show by induction that your closed formula from (c) is the number of times that the given statement is implemented for a problem of size n.Note: if your proof is easily  a proof th

Determine the synchronization of bits The synchronization provided by use of start and stop bits, an extra bit known as a parity bit may optionally be transmitted along with th

Q. How Dreamweaver Work in Layout View? Dreamweaver has two visual design views-Standard view and Layout view. You will start by working in Layout view, which allows you to dra

Fifth Generation (1984-1990) The advancement of the next generation of computer systems is characterized majorly by the acceptance of parallel processing.  Until this time para