Question

integral of 1/(x^2+x)

Answer 1

\[\int\limits_{}^{} 1/ (x^2+x) \]

Answer 2

how about factoring first
\[\int \frac{1}{x(x+1)}\]
i believe you can use partial fractions here yes?

Answer 3

i understand but is it possible to use intyegration by parts as well?

Answer 4

hmm do you mean \[\int \frac 1x \times \frac{1}{x+1}\]
interesting...

Answer 5

well i can assure you it's gonna be complicated IF possible

Answer 6

let u = 1/x
du = -1/x^2

dv = 1/x+1
v = ln (x+1)

do you see it? the complication i mean

Answer 7

you're gonna have \[\frac{\ln (x+1)}{x} + \int \frac{\ln(x+1)}{x^2}dx\]
how do you suppose you can integrate that

Answer 8

okat thank you i see your point