dx x( x^4 - 1) is equal to :- - Vidyadip

MCQ

$\int {\frac{{dx}}{{x({x^4} - 1)}}} $ is equal to :-

A
$\frac{1}{4}\ln \left| {\frac{{{x^2} - 1}}{{{x^4}}}} \right| + C$
✓
$\frac{1}{4}\ln \left| {1 - \frac{1}{{{x^4}}}} \right| + C$
C
$\ln \left| {\frac{{{x^4}}}{{{x^4} - 1}}} \right| + C$
D
None

✓

Answer

Correct option: B.

$\frac{1}{4}\ln \left| {1 - \frac{1}{{{x^4}}}} \right| + C$

b

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