## ksaimouli Group Title integrate one year ago one year ago

1. ksaimouli Group Title

$\int\limits_{}^{}\frac{ x^2+3 }{ x-1}dx$

2. TuringTest Group Title

use polynomial long division

3. ksaimouli Group Title

i got |dw:1356474256088:dw|

4. ksaimouli Group Title

@TuringTest

5. TuringTest Group Title

yes, so what is your new integrand?

6. ksaimouli Group Title

how to write? no idea

7. TuringTest Group Title

yeah, you didn't show you work too clearly|dw:1356474423392:dw|so you got x+1 with remainder 4

8. ksaimouli Group Title

|dw:1356474525330:dw|

9. TuringTest Group Title

that's right, now integrate

10. ksaimouli Group Title

from here i can catch up last question when to

11. ksaimouli Group Title

use long division

12. ksaimouli Group Title

i mean by just seeing the question how do u know to do long division

13. mathstudent55 Group Title

When you need to integrate a rational expression, and the polynomial in the numerator has a higher degree than the polynomial in the denominator, use polynomial long division.