Question: Note Usually, we choose c=0.EXAMPLE 5 Evaluate the improper integral-xe-x2dxand give a geometric interpretation of the results.Solution Take the number c in Equation (15) to

Note Usually, we choose c=0.EXAMPLE 5 Evaluate the improper integral-xe-x2dxand give a geometric interpretation of the results.Solution Take the number c in Equation (15) to be 0. Let's first evaluate-0xe-x2dx=lima-a0xe-x2dx=lima--12e-x2|a0||=lima-[-1212e-a2]=-12Next, we evaluate0xe-x2dx=limb0bxe-x2dx

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