Question

integral

Answer 1

anyone able to help me?

Answer 2

ln(a) - ln(b) = ln(a/b)

Answer 3

oh yeahh..but i still cant solve for \(C\) in that form

Answer 4

or am i, on the wrong track

Answer 5

mm..
so we have
ln of:
(b^2+1)^(0.5) / (3b+1)^(c/3)

now if the power of b in the numerator will be bigger or smaller than the power of b in the denominator the integral will diverge since
ln of something goes to 0 goes to - inf
and ln of something goes to inf goes to inf.

so the powers should be equal
then ill go with
c/3 = 1
c = 3.

Answer 6

so do i just guess the number 1?

Answer 7

1 ?
i just wrote c=3

Answer 8

no guessing ..
in the numerator you have ~ (b^2)^0.5 = b = b^1
denominator ~ (b)^(c/3)

c/3 = 1

Answer 9

isnt it (3b)^(c/3)?

Answer 10

yes but it does not matter for the value of c

Answer 11

can i just multiply it like (b^2)^(0.5? is that allowed, cos normally you expand it, not time the inside..

Answer 12

since b-> inf the 1 inside is negligible

Answer 13

ohhh

Answer 14

i got it now

Answer 15

we only need to find the value of c so that the integral converge
so you dont really need to find exactly how the expression looks like

Answer 16

yee, got it thankk youuuu!! :D

Answer 17

yw :)