If statement for Monte Carlo integration

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The discussion revolves around writing a Fortran program to calculate the integral of sin^4(x) from 0 to π/2. The main concern is determining the correct if statement to check if a point lies within the desired area under the curve. It is suggested that random points are generated within a bounding rectangle, emphasizing the importance of identifying points that fall "under the curve" to accurately compute the integral.
mayankbhargava101
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Hello,

I am writing a program on Fortran to calculate the integral of sin^4(x) between x = 0 and x = π/2.

I believe I know how to write the correct code, but I am unsure what the if statement should be for whether or not a point is inside the desired area.

Any thoughts?

Thanks.
 
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mayankbhargava101 said:
Hello,

I am writing a program on Fortran to calculate the integral of sin^4(x) between x = 0 and x = π/2.

I believe I know how to write the correct code, but I am unsure what the if statement should be for whether or not a point is inside the desired area.

Any thoughts?

Thanks.
I assume that you are generating random points within a bounding rectangle. Since you are calculating an integral, you will want the area under the curve. The operative phrase would be "under the curve".
 
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