Question

Inverse functions,

I have to solve this problem: http://screencast.com/t/Yiw1NBSg1qH

I am stuck in this step:
http://screencast.com/t/ZZ0swLbzbCx

I know it's simple but I know it's gonna drain the life outa me to find out just how to proceed , can you help me out ??

Answer 1

\(\int x^ndx= x^{n+1}/(n+1)+c\)
n=1/2 here

Answer 2

It's my first time solving an integral to such level of complexity btw so I just wanna make sure since I am learning alone and I dont have anyone to verify that I am going right exept myself

Answer 3

hm hold on

Answer 4

did you how they got to the step where you are struck?

Answer 5

ofc

Answer 6

that's good .. hartnn just told you how to do this you got that?

Answer 7

ok so it's 2u^(3/2)/3 can you please tell me what then ? I just need to see some minor details that are really hard to express on message I just need to see the logic on first one with u sub + limited int

Answer 8

now put the value of u that's it ..

Answer 9

now just put the limits,
put upper limit, and subtract the lower limit from it

Answer 10

and then put the limits

Answer 11

After replacing u or before ??

Answer 12

okay let's get confused

Answer 13

you don't replace u

Answer 14

since we have changed the limits, we need nor do a plugging back

Answer 15

forget that u ever had an ex

Answer 16

"since we have changed the limits" Changed them to what ?

Answer 17

i think no need to replace u we have changed limits

Answer 18

a variable 'x' i mean :P

Answer 19

i did't saw we changed limits sorry for that

Answer 20

from 1 to sqrt 3 to pi/4 to pi/3

Answer 21

from (x=1 to sqrt 3) to (u=pi/4 to pi/3)`

Answer 22

soo final answer : sqrt(pi/3) - sqrt(pi/4) ?

Answer 23

"2u^(3/2)/3"<-----why didn't u put it in this ??

Answer 24

oh I am sorry you are right ! : 2(pi/3)^(3/2)/3 - 2(pi/4)^(3/2)/3 good ?

Answer 25

yeah correct...see whether it gets simplified, if you need it to be more simplified...

Answer 26

I see, will do, thankies !

Answer 27

welcomies!