The integral ∫[(x^2)/(2^x)]dx, evaluated from infinity to 0, can be solved using integration by parts. The correct result involves the expression ([(ln(2)x]^2 + 2ln(2)x + 2)/(2^x)[ln(2)]^3. To complete the solution, one must calculate the limit as x approaches infinity and the value at x equals zero. The integration technique discussed is confirmed to be valid and effective.
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deiru said:Homework Statement
solve the integral ∫[(x^2)/(2^x)]dx evaluating from infinity to 0
Homework Equations
The Attempt at a Solution
using integration by parts I get this: ([(ln(2)x]^2 + 2ln(2)x +2)/(2^x)[ln(2)]^3
and a really big headache