`int (x^2 + 1)/(x^2 - 2x + 2)^2 dx` Evaluate the integral

Expert Answers

An illustration of the letter 'A' in a speech bubbles


Let's evaluate the above integral by rewriting the integrand as,




Now again rewrite the second integral,



Now let's evaluate the above three integrals,


Let's use the integral substitution,

Let u=x-1,



The above can be evaluated using the standard integral,

(The entire section contains 339 words.)

Unlock This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial
Approved by eNotes Editorial Team