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The integral \(\int \frac{(2 x-1) \cos \sqrt{(2 x-1)^2+5}}{\sqrt{4 x^2-4 x+6}} d x\) is equal to: (where \(c\) is a cons…

Q1

The integral \(\int \frac{(2 x-1) \cos \sqrt{(2 x-1)^2+5}}{\sqrt{4 x^2-4 x+6}} d x\) is equal to: (where \(c\) is a constant of integration)

[JEE Main 2021, 18 Mar (Shift 1)]

a

\(\frac{1}{2} \sin \sqrt{(2 x-1)^2+5}+c\)

b

\(\frac{1}{2} \sin \sqrt{(2 x+1)^2+5}+c\)

c

\(\frac{1}{2} \cos \sqrt{(2 x+1)^2+5}+c\)

d

\(\frac{1}{2} \cos \sqrt{(2 x-1)^2+5}+c\)

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