Math Is Fun Forum

Nils-Ake

Member

Registered: 2008-04-15

Posts: 20

Integration

Can someone help me out with this one, please?

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Integration

Put into partial fractions and integrate.

Nils-Ake

Member

Registered: 2008-04-15

Posts: 20

Re: Integration

Thank you for your answer, Jane I could get the right answer this way, but I'm not supposed to use partial fractions. Is there a way I can do it without using this method?

Dragonshade

Member

Registered: 2008-01-16

Posts: 147

Re: Integration

How about

Last edited by Dragonshade (2008-04-15 04:41:59)

Nils-Ake

Member

Registered: 2008-04-15

Posts: 20

Re: Integration

wow Dragonshade, that's way too complicated for me, thanks for the answer though :D I've just found out that I'm allowed to use partial fractions, so I guess I'll have to learn how to use them.

Just one more question. Maple says...

It must be obvious but I just can't figure out why.

Last edited by Nils-Ake (2008-04-15 06:13:10)

LuisRodg

Real Member

Registered: 2007-10-23

Posts: 322

Re: Integration

Know how to do it now? Partial fractions again

Partial fractions is very useful, so learn it by all means. In some cases thats the only way to solve an integral.

What Dragonshade used is trigonometric substitutions. Even though it looks daring, a lot of times it proves easier to apply than any other method.

Last edited by LuisRodg (2008-04-15 06:24:33)

Nils-Ake

Member

Registered: 2008-04-15

Posts: 20

Re: Integration

Oh well >_< partial fractions again. I'll follow your advice and try to learn it. Thanks.

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Integration

I was surprised when you said you were not supposed to use partial fractions. It doesn’t make sense. Partial fractions are normally the most efficient methods of integrating an expression that can be split into partial fractions. Not being allowed to use this method appears to me to be a big shame.