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Indefinite Integrals question

2019 · 11 Jan · Shift 2 · Q28
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Indefinite Integrals question

2019 · 11 Jan · Shift 2 · Q28

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1
If ∫x+12x−1 dx\int {{{x + 1} \over {\sqrt {2x - 1} }}} \,dx∫2x−1​x+1​dx= f(x) 2x−1\sqrt {2x - 1}2x−1​ + C, where C is a constant of integration, then f(x) is equal to :
  1. A
    23{2 \over 3}32​(x −-− 4)
  2. B
    13{1 \over 3}31​ (x + 4)
  3. C
    13{1 \over 3}31​ (x + 1)
  4. D
    23{2 \over 3}32​ (x + 2)
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