Question

Can anyone help me with a converge/diverge integration problem.(Calc 2)
INTEGRATE from (1-INFINITE) 3/(x + x^3) dx

Answer 1

power rule: 1/x^p in the denominator where p is greater than 1, so you know that it diverges...

Answer 2

*converges...

Answer 3

so if it converges then i can show a comparison?

Answer 4

comparison or limit comparison?

Answer 5

um let me see

Answer 6

so if 1/x^p, if n>1 then it converges right

Answer 7

yes, that's your "power rule" or some people call it the "p-series test"

Answer 8

I'm not really sure what you mean by n>1 above, it should be p>1...

Answer 9

thats what i meant

Answer 10

oh ok ; )