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intdx/sqrt(4x^2-4x+5)...

`intdx/sqrt(4x^2-4x+5)`

Text Solution

Verified by Experts

`intdx/sqrt(4x^2-4x+5)=intdx/(sqrt((2x-1)^2) +2^2)`
=`1/2log(2x-1+sqrt(4x^2-4x+5)+C`
`[because intdt/sqrt(t^2+a^2)=log(t+sqrt(t^2+a^2)+C]`
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