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Integration: Stirling's Formula

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Questions on integration. Please see the attached file for the fully formatted problems.

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Solution Summary

Integrals are solved.

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Help 1:
For I = integration (x1 to x2) f(x) dx
L(f)*(x2-x1) <= I <= U(f)*(x2-x1)
where U(f) and L(f) are the maximum and minimum values of f in the given interval of x (x1,x2).
therefore, for
f(x) = (1+x)*sqrt(2+sinx) and interval (0,pi/2)
U(f) = (1 ...

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