Question: Consider the following improper integral.I=0x2-1x2(x32+1)dx(a) Write the improper integral I as a sum oflimitsof proper integrals.(b) Use the substitution x=u2to calculate the proper integrals you

Consider the following improper integral.I=0x2-1x2(x32+1)dx(a) Write the improper integral I as a sum oflimitsof proper integrals.(b) Use the substitution x=u2to calculate the proper integrals you obtained in part(a).(c) Does the improper integral I converge or diverge? Ifit converges, find its value.

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