Question

Detemine the following intergral

Answer 1

\[\int\limits_{?}^{?}1/x^2-2x+5 dx\]

Answer 2

Remember the power rule \[ x^{n} = \frac{x^{n+1}}{n+1}\]This should be a straightforward integral. Just remember to write 1/x^2 as x^(-2).

Answer 3

Or is is \[ \int \frac{dx}{x^2 -2x + 5} \]?

Answer 4

yes

Answer 5

I thought that I could do it by partial fractions,but its not working so well

Answer 6

Complete the square first: \[ \int \frac{dx}{(x-1)^2 + 4} \]Then do you remember the arctan integral?

Answer 7

yesss! :D thanx now it makes more sense

Answer 8

No problem :-)