intergration double check

• May 7th 2010, 06:28 AM
Daniiel
intergration double check
find the intergral
http://img266.imageshack.us/img266/1699/inte.jpg

so i did long divisoin, this will look messy but this is what it simplified to
5x^2 + 3x - 5 + ((8x-1)/(x^2 + 1))
so the intergral of that
ended up looking liiike

(5x^3)/3 - 3x^2 / 2 - 5x + 4log(x^2 + 2) - arctan x
is that right

wolf ram go, instead of 8x- 1 as the remainder 8x - 11
and i got 8x - 11 the first time ,but i made a mistake in the calculation
• May 7th 2010, 06:50 AM
Quote:

Originally Posted by Daniiel
find the intergral
http://img266.imageshack.us/img266/1699/inte.jpg

so i did long divisoin, this will look messy but this is what it simplified to
5x^2 + 3x - 5 + ((8x-1)/(x^2 + 1))
so the intergral of that
ended up looking liiike

(5x^3)/3 - 3x^2 / 2 - 5x + 4log(x^2 + 2) - arctan x
is that right

wolf ram go, instead of 8x- 1 as the remainder 8x - 11
and i got 8x - 11 the first time ,but i made a mistake in the calculation

the remainder of 8x-1 is correct .

And your integration is also correct .
• May 7th 2010, 06:40 PM
Daniiel
ok cheers