Question

solve the integral

Answer 1

\[\int\limits_{0}^{4}(1-\sqrt{u})/(\sqrt{u})\]

Answer 2

Lolz...didn't even neded to substitute.

Answer 3

need*

Answer 4

waste of your time.

Answer 5

Yah the substitution was kinda silly :)
If you do a substitution, don't forget to change the limits of integration also.

Answer 6

And there's no du at the back of the integral

Answer 7

So there's no solution

Answer 8

You can't continue on integrating that without respect of anything.

Answer 9

Ops, sorry forgot about the du..
It is in respect to du

Answer 10

What are you integrating with respect to? You integrating with respect to zero?

Answer 11

Okay. Now you can integrate it. Just separate the numerator.

Answer 12

And you can continue integrating per usual.

Answer 13

\[\int\limits_{}^{}\frac{ 1 }{ \sqrt{u} }du-\int\limits_{}^{}1du\]\[\int\limits_{}^{}u^{-\frac{ 1 }{ 2 }}du-u\]\[2u^{\frac{ 1 }{ 2 }}-u\]Then just plug in the limit from 0 to 4

Answer 14

My only real problem is finding the anti-derivative

Answer 15

Anti-differentiating is just differentiating in reverse. Try and use reverse psychology when integrating if you can.

Answer 16

\[\large \frac{1-\sqrt u}{\sqrt u} \qquad = \qquad \frac{1}{\sqrt u}-\frac{\sqrt u}{\sqrt u} \qquad = \qquad u^{-1/2}-1\]
Yah you just apply the `Power Rule for Integration`! :D

Answer 17

Thank you very much