In this video I go over another example on improper integrals and this time solve the integral of the function x*e^x from x = -∞ to x = 0. In solving this improper integral, I had to use the method of integration by parts as well as the L'Hospital's Rule for evaluating the resulting limit and show that this function does in fact converge and the answer is simply -1.
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Improper Integrals: Example 2: x*e^x
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matheasymath easyeasymatheasy mathmathonline calculatorcalculatorfree calculatoronline toolsfree online toolsintegralsintegral calculusmath exampleintegral exampleimproper integralsimproper integral exampleinfinite limitsinfinite integralsintegrals as limitsl'hospital's ruleintegration by partsexample 2