Question

Integration by partial fractions.

Answer 1

is that a question or a tutorial saif?

Answer 2

Sorry my Operating system isn't in the mood to load Openstudy. :S

\[\int\limits \frac{x}{(x^2+3)(x^2+5)}\]

Answer 3

the x^2 means the top is Ax + B
i.e.
\[ \frac{Ax+B}{x^2+3} + \frac{Cx+D}{x^2+5} \]

Answer 4

I did the next step too.
What to do after it?

Answer 5

\[x = (Ax+B)(x^2+5) + (Cx+D)(x^2+5)\]

Answer 6

yes, that looks good

Answer 7

Whut's next?

Answer 8

multiply out, collect terms, then match coefficients (i.e. coeff of x=1 , others are 0)

Answer 9

It looks weird. :/

Answer 10

That's a total new method to learn!! @Hero
But thanks for the link.

Answer 11

I noticed a typo one of the factors should be (x^2 +3) you have +5 for both

Answer 12

Dang!! Thank you!! =D
In the last step i tried correcting but it still looks weird.
I'll redo this now.

Answer 13

A = 1/2 perfect!!

Answer 14

Here's a medal for doing math in pen! lol

Answer 15

lol you have such silly x's saifoo c:

Answer 16

Lol. Thanks. But phi deserves the medals.

Answer 17

@zepdrix