# How will you integrate ? #int(dx)/(1+x^4)^2#

##### 1 Answer

=

=

=

=

=

=

=

=

=

=

=

#### Explanation:

1) I divided denominator and numerator of integrand with x^8

2) I decomposed numerator for resembling derivative of denominator.

3) I used partial fraction

4) I expanded fractions with x^4

5) I started to decompose second integral by multiply and divide with 2

6) I divided denominator and numerator of second integrand with x^2

7) I decomposed second one for resembling denominators of them at forms of

8) I integrated decomposed them.

9) I rewrote results.