billy bob and the trooper.

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100 Vette coins to whoever can come up with the password, lol .
View attachment 126586

This function consists of a cosine term, a cubic term, and a square root term. The cubic term is odd whereas the cosine and the square root term are even. If we distribute the parentheses, the integrand becomes the sum of a square root term and a cubic-cosine-square root term. The cubic-cosine-square root term is odd, so the integral from -2 to +2 is just zero.

Now we're left with the square root term. That's a half circle with radius 2 and centered on the origin. It's got a factor of 1/2 attached to it, so it's really a quarter circle of radius 2.

That area is pi, thus the answer is the first 10 digits of pi or 3.141592653
 
This function consists of a cosine term, a cubic term, and a square root term. The cubic term is odd whereas the cosine and the square root term are even. If we distribute the parentheses, the integrand becomes the sum of a square root term and a cubic-cosine-square root term. The cubic-cosine-square root term is odd, so the integral from -2 to +2 is just zero.

Now we're left with the square root term. That's a half circle with radius 2 and centered on the origin. It's got a factor of 1/2 attached to it, so it's really a quarter circle of radius 2.

That area is pi, thus the answer is the first 10 digits of pi or 3.141592653
Congratulations. How do I send you your coins ? ,lol. Only issue is that the query doesn’t indicate how many of the “ first “ digits constitute the password……..
 

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