Name: xe^-2x 2009-11-27 16:39
can someone find the end result of the definite integral of xe^(-2x), from 1 to infinity?
i did it on a recent exam, and i secured the answer 3/4e^2. although the answer was/is 'wrong', i got the question right since it was checking for convergence or divergence(either way, it would've ended up converging). my professor said that the true answer was 1/4e^2. i'm checking over my exam, and i don't see where i went wrong with the signs unless i'm missing something? i used classic FTC, f(b) - f(a), and i still don't know how he was able to subtract 1 from 2.
fyi, this is calc II material. the class is calc III, but he adds in series-questions every now and then. can someone help me out?
i did it on a recent exam, and i secured the answer 3/4e^2. although the answer was/is 'wrong', i got the question right since it was checking for convergence or divergence(either way, it would've ended up converging). my professor said that the true answer was 1/4e^2. i'm checking over my exam, and i don't see where i went wrong with the signs unless i'm missing something? i used classic FTC, f(b) - f(a), and i still don't know how he was able to subtract 1 from 2.
fyi, this is calc II material. the class is calc III, but he adds in series-questions every now and then. can someone help me out?