Asked by Anonymous
integrate x+5/(x^2+10x+26)
Answers
Answered by
Reiny
I have a feeling that you meant
integrate (x+5)/(x^2+10x+26)
I noticed that it would fit the pattern of ln(...)
since the derivative of the denominator shows up as a multiple in the numerator
lets doctor it up
(x+5)/(x^2+10x+26)
(1/2) (2x+10)/(x^2 + 10x + 26)
and the integral of that is
(1/2) ln(x^2 + 10x + 26) + C
if you did mean it the way you typed, it will be very messy.
I would try something like partial fractions, but the bottom does not factor, so it would involve some nasty radicals.
integrate (x+5)/(x^2+10x+26)
I noticed that it would fit the pattern of ln(...)
since the derivative of the denominator shows up as a multiple in the numerator
lets doctor it up
(x+5)/(x^2+10x+26)
(1/2) (2x+10)/(x^2 + 10x + 26)
and the integral of that is
(1/2) ln(x^2 + 10x + 26) + C
if you did mean it the way you typed, it will be very messy.
I would try something like partial fractions, but the bottom does not factor, so it would involve some nasty radicals.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.