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The integral \(16{\int }_{1}^{2}\frac{dx}{{x}^{3}{\left({x}^{2}+2\right)}^{2}}\) is equal to [JEE Main 2023, 25 Jan (Shi…

Q1

The integral \(16{\int }_{1}^{2}\frac{dx}{{x}^{3}{\left({x}^{2}+2\right)}^{2}}\) is equal to

[JEE Main 2023, 25 Jan (Shift 2)]

a

\(\frac{11}{6}+\log _e 4\)

b

\(\frac{11}{12}+\log _e 4\)

c

\(\frac{11}{12}-\log _e 4\)

d

\(\frac{11}{6}-\log _e 4\)

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