Question

integral question

Answer 1

integral answer

Answer 2

\[\int\limits_{1}^{\infty} \frac{1}{2x+5}\]

Answer 3

now I did u = 2x+5
1/2du = dx

Answer 4

(ln(2x+5))/2 bro

Answer 5

limits are 1 to infinity

Answer 6

change variable:
u = 2x+5
du =2dx

Answer 7

1/2 ln|2x+5| from 1 to infinitye

Answer 8

divergence very much huh? (-:

Answer 9

now the question asks Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series.

Answer 10

The divergence test can be applied because it is a continuous function that decreases with steadily for larger values of x, because you're dividing by a larger and larger number

Answer 11

I know it doesn't diverge but it's asking me what the integral =... I tried -1/2 ln|7| and some others.

Answer 12

divergence test = integral test, I sleep too less.

Answer 13

well if you apply the integral method to this integral it will show you that it doesn't converge. the natural log of infinity is not defined, or rather is infinity, but log functions are slow (for computer sciences, runtime etc.)

Answer 14

besides that I wouldn't know what to add.

Answer 15

Yeah I tried infinity - answer didn't work..

Answer 16

it is in agreement from what I know about this function I believe that it diverges. Maybe you want to wait for another answer.

Answer 17

ok infinity worked... :p

Answer 18

I hope so (-: