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\noindent {\bf Problem statement} Consider the following four integrals:

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\+a) ${ \int_0^{\infty} {x \over {1+x^4}} \, dx}$
& b) ${ \int_0^{\infty} {{x^2} \over {1+x^4}} \, dx}$\cr

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\+c) ${ \int_0^{\infty} {{x^3} \over {1+x^4}} \, dx}$
&d) ${ \int_0^{\infty} {{x^4} \over {1+x^4}} \, dx}$\cr

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\noindent Which of these integrals converge? (Hint: compare to 
``pure'' powers of $x$.) Compute the exact value of at least
one of the convergent integrals.

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