How to solve integration using a C program, C program to find integration

Well there's a saying,"Engineering is not complete without Programming" Or did I just made this saying. I thought I didn't. Lord Anish Niroula did.  No matter what Programming and calculus are always pain in the ass for most of the students. 

Here I have written a simple piece of code in C Programming Language which merges the both aspects of calculus and programming. 

This piece of code uses a well known method called "The Trapezium Rule" to calculate the area between the curve. 

Here I have written the code for two forms algebric form and trigonometric form.

The equation for algebric form is y = x^2 + X

The equation for trigonometric form is y = (1+(sinx*sinx))^1/2 

The program for algebric form is :

#include <stdio.h>

#include <stdlib.h>

#include <math.h>

int main()

{

    int a,b,y, area=0, x=0;

    int h=2;

    printf("Enter the value of a \n");

    scanf("%d",&a);

    printf("Enter the value of b \n");

    scanf("%d",&b);

    while (x<b)

    {

        y= x*(x+1);

        area = area+ (h*y);

        x = x+h;

    }

    printf("Total area is : %d \n ",area);

    system("pause");

    return(1);

}

The code for trigonometric form is:

#include <stdio.h>

#include <stdlib.h>

#include <math.h>

int main()

{

    int a,b,y, area=0, x=0;

    int h=2;

    printf("Enter the value of a \n");

    scanf("%d",&a);

    printf("Enter the value of b \n");

    scanf("%d",&b);

    while (x<=b)

    {

        y= sqrt(1+(sin(x)*sin(x)));

        area += (h*y);

        x+= h;

    }

    printf("Total area is : %d \n ",area);

    system("pause");

    return(1);

}

                                                           Peace Out Hombres!