Question

Integrate (6x+5)/(x^2+4x+4) from 1 to 9 is
A/denominator + B/denominator

Answer 1

So you need to do partial fractions for this. So, (6x+5)/(x+2)(x+2) = A/x+2 + B/(x+2)^2

Answer 2

Solve for A and B,

Ax^2+4Ax+4A + Bx+2B = 6x+5
4A+B=6
4A+2B=5
A= 7/4
B=-1

Answer 3

Then find \[\int\limits_{}^{}(7/4)/(x+2) + \int\limits_{}^{}-1/(x+2)^2\]

Answer 4

I'll just skip to the answer for now,

You should wind up with 6ln(11/3) - 56/33 = 6.09873