Posted by Robin on .
Evaluate the integral (3x^216x19)/(x^34x^23x+18)

Calculus Please Help?? 
bobpursley,
Have you done the method of partial fractions yet?

Calculus Please Help?? 
Robin,
Yes, I know how to get variables. I got b=8, c=1, and a=2, but I don't know how to get an integral as an answer. I need help integrating 2 other problems I will post as well, if you can help me.

Calculus Please Help?? 
Robin,
1. (5x^2+10x12)/(x5)(x^2+4)
2. (8x28)/((x2)(x+9))
I know how to integrate, I just don't know how to get an integral, after finding a,b,c, and from that point 
Calculus Please Help?? 
Reiny,
So you were able to use partial fractions to decompose it to
8/(x3)^2 + 2/(x3) + 1/(x+2)
that was the hardest part, the rest is easy
isn't the integral of 8/(x3)^2 equal to 8/(x3) ?
as to the others, you should recognize the pattern of the derivative of a log function
recall that is y = ln (u)
then dy/dx = (du/dx) / ln (u)
so if we integrate
8/(x3)^2 + 1/(x+2) + 2/(x3)
we get
8/(x3) + ln(x+2) + 2ln(x3) + constant 
Calculus Please Help?? 
Reiny,
For your 2nd part,
did you get the partial fraction breakdown of
2x/(x^2+4)  3/(x5) from (5x^2 + 10x  12)/((x5)(x^2+4)) ?
then your integral would be
ln(x^2+4)  3ln(x5) + a constant
let me know what you get for your last question.