Integration Question (2 Viewers)

[imsleepyz]

Please help me integrate using inverse trig

 

[SpiralFlex]

 

[Shadowdude]

That should be all you need - and then you can go from there.

 

[Carrotsticks]

You can integrate:



Using substitution u = 4-x^2

 

[nhox_h3o]

what tool did you use to write this

 

[imsleepyz]

Thank you but how do you integrate the first part of the equation with x as the numerator using inverse trig? :S

 

[SpiralFlex]

Thank you but how do you integrate the first part of the equation with x as the numerator using inverse trig? :S

Sorry I made an error. I copied the second line to third line and forgot to remove 1/2

 

[SpiralFlex]

Thank you but how do you integrate the first part of the equation with x as the numerator using inverse trig? :S

You don't. I am using



We can manipulate the integral to get it back to the form.

 

[imsleepyz]

You don't. I am using



We can manipulate the integral to get it back to the form.

Should that really be assumed knowledge? Because I'm not familiar with it

 

[SpiralFlex]

Should that really be assumed knowledge? Because I'm not familiar with it

It's not assumed, you should try it! There are some great manipulation exercises in Terry Lee. Alternatively you could always use substitution as Carrot said.

But this method should be quicker if you see it.

 

[imsleepyz]

Damn I didn't see Carrotsticks' post. Yeah I think I'm more comfortable with substitution method. Thank you SpiralFlex and everyone else who contributed.

 

[SpiralFlex]

what tool did you use to write this

LaTeX

 

[nhox_h3o]

LaTeX

Is it ok if you send me a link to download it please thank you Spiralflex

 

[lilly luta]

Is it ok if you send me a link to download it please thank you Spiralflex

http://www.latex-project.org/ I think it's this...But not too sure

 

[SpiralFlex]

You can use the online editor, but I am fluent with LaTeX so I know what to type without looking.

http://www.codecogs.com/latex/eqneditor.php

 

[Annihilist]

That should be all you need - and then you can go from there.

Is this integration by parts?

 

[deswa1]

Is this integration by parts?

No, he just split the fraction into two parts...

 

[nhox_h3o]

You can use the online editor, but I am fluent with LaTeX so I know what to type without looking.

http://www.codecogs.com/latex/eqneditor.php

Thank you Spiralflex and you too Lily

 

[Shadowdude]

Is this integration by parts?

No, he just split the fraction into two parts...

^ that.

 

[Carrotsticks]

Personally, I try to avoid integration by substitution as much as possible, and I didn't use it for this question.

I just recognised that there was some form of the derivative in the actual expression, and integrated it directly (and fixed constants).

This is a more advanced technique that can't really be taught, but is 'realised' upon doing masses of integration by substitution questions.

Though it is essentially the same as substitution... you're just doing it mentally.