Question

Okay, How do I know if the Integral, limits are 6 and infinity, of 1/(x+4)^(1/5) converges or diverges?

Answer 1

if the integral goes off to iinfinity; its diverging

Answer 2

So do I integrate it first, then plug in infinity for x then subtract after I plig in 6 for the bottom limit?

Answer 3

integrate it first, yes

Answer 4

so I get 3/(5(x-3)^(5/3)?

Answer 5

i get 4/5 .....

-1/5 + 5/5 = 4/5

Answer 6

oh woops

Answer 7

\[\int(x+4)^{-1/5}dx=\frac{5}{4}(x+5)^{4/5}\]

Answer 8

the 6 is useless in this regards since it adds no real value;

and at infinity we just get infinity

Answer 9

Okay, so when I plug in infinity and subtract the six plugged in, what do I get? This is where i get lost usually

Answer 10

okay, so 1/infinity would be congerging on zero?

Answer 11

forget the clutter;

(infinity)^4/5 i believe is just infinity

Answer 12

1/large goes to zero, yes

Answer 13

but its under 1, so it would be getting smaller

Answer 14

1/100000 of a piece of pie is a very tiny piece

Answer 15

this isnt under 1

Answer 16

under 5 sorry

Answer 17

\[5\sqrt[5]{(\infty+4)^4} \over 4\]

Answer 18

ohhhh

Answer 19

so its diverging

Answer 20

gotcha thanks alot

Answer 21

:) good luck

Answer 22

hey