The function e -x^2 does not have an antiderivative that can be expressed in ter

Question

The function e-x^2 does not have an antiderivative that can be expressed in terms of elementary functions (ex, sin x, etc), so the integral of this function must be estimated by some numerical technique.

Approximate the integral:

by using the Monte Carlo method. (remember that integral is the areaunderneath the line )

Hint: You need to include <math.h> to calculate theby using exp(-(x*x)).

Sample Input/Output:

(Input is in bold)

Run again(1=yes,0=no)? 1

How many trials? 100

Integral = 0.720000

Run again(1=yes,0=no)? 1

How many trials? 10000

Integral = 0.746400

Run again(1=yes,0=no)? 1

How many trials? 1000000

Integral = 0.746515

Explanation / Answer

#include #include #include #include #define SEED 35791246 main(int argc, char* argv) { int niter=0; double x,y; int i,count=0; /* # of points in the 1st quadrant of unit circle */ double z; double pi; printf("Enter the number of iterations used to estimate pi: "); scanf("%d",&niter); /* initialize random numbers */ srand(SEED); count=0; for ( i=0; i

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