Question

INSTANT MEDAL AND FAN
For which of the following integrands will the table method for parts produce an antiderivative?
None of these
x3sin(x)
extan(x)
exln(x)

Answer 1

The table method usually works in the case \(e^x\)

I would assume, in this case though, that \(x^3*sinx\ ) would be one that would produce an anti-derivative.

Answer 2

my bad, it's e^x ln(x) and e^x tanx and x^3 sin(x)

Answer 3

You are correct, it is x^3 sin(x). Thanks.

Answer 4

Yup!

It seemed like the best choice. e^t*tanx and e^x ln(x) probably would have required additional integration after the table method (: