Question

Express the integrand as a sum of partial fractions and evaluate the integral.
Integral from 0 to 1 of (x^3)/ (x^2+8x+16) dx

Answer 1

\[\int\limits_{0}^{1} \frac{ x^{3} }{ x ^{2}+8x+16}dx\]

I've gotten as far as :

\[\int\limits_{0}^{1} x+1+\frac{ 256 }{ (x+4)^{2} } +\frac{ 51 }{ (x+4)} dx\]

Answer 2

I think that is incorrect...

Answer 3

Ok, then how do I figure out A and B if the denominator is a perfect square?

Answer 4

before I do division, this is how you do it

one fraction is (x+4) and the other is (x+4)^2

Answer 5

(I am talking denominators)

Answer 6

Right