Question

integral from 0 to infinit for 1/x^(1/4)
Please help! just wanna check my answer, I got 0

Answer 1

\(\int_0^\infty x^{-\frac{1}{4}}dx=\frac{4}{3}x^{\frac{3}{4}}|_0^\infty=\infty\)

Answer 2

isn't infinity^3/4 = 0

Answer 3

no

Answer 4

\(\sqrt{\infty}=\infty\)

Answer 5

if exponent is negative then infinity^n = 0

Answer 6

oh ok so then the integral from 1 to infinity would be infinity aswell
cause for that I get 4/3infnity^3/4-4/3

Answer 7

\(\frac{4}{3}\infty^\frac{3}{4}-\frac{4}{3}*0^\frac{3}{4}=\frac{4}{3}\infty^\frac{3}{4}=\infty\)

Answer 8

ok thanks!

Answer 9

yes

Answer 10

I see what you are saying...

Answer 11

for any n that is not infinity, negative inifinty

Answer 12

you will either subtract or add a finite amount to infinity, so you will get infinity

Answer 13

and infinity - infinity does not even make sense.....

Answer 14

and also I did the integral from 1 to infinityof 1/x^(1/4) if I use p integral rule 1/p-1 I get - 4/3
but if I solve analyticaly and if infinity ^4/3=infinity then I get 0 so that's why im confused