## Luigi0210 Group Title solve the integral one year ago one year ago

1. Luigi0210 Group Title

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

2. Azteck Group Title

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

3. Azteck Group Title

need*

4. Azteck Group Title

5. zepdrix Group Title

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

6. Azteck Group Title

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

7. Azteck Group Title

So there's no solution

8. Azteck Group Title

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

9. Luigi0210 Group Title

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

10. Azteck Group Title

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

11. Azteck Group Title

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

12. Azteck Group Title

And you can continue integrating per usual.

13. Lynncake Group Title

$\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

14. Luigi0210 Group Title

My only real problem is finding the anti-derivative

15. Azteck Group Title

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

16. zepdrix Group Title

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

17. Luigi0210 Group Title

Thank you very much