Solveeit Logo
Login

Question

Mathematics Question on Integration

∫dxx2−x=\int\frac{dx}{x^2-x}=

A

log⁡∣x∣∣x−1∣+C\log\frac{|x|}{|x-1|}+C

B

−1x+log⁡∣x−1∣+C\frac{-1}{x}+\log|x-1|+C

C

xlog⁡∣x−1∣+Cx\log|x-1|+C

D

log⁡∣x−1∣∣x∣+C\log\frac{|x-1|}{|x|}+C

E

−xlog⁡∣x−1∣+C-x\log|x-1|+C

Answer

log⁡∣x−1∣∣x∣+C\log\frac{|x-1|}{|x|}+C

Explanation

Solution

The correct option is (D) : log⁡∣x−1∣∣x∣+C\log\frac{|x-1|}{|x|}+C