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Indefinite Integrals question

2017 · 9 Apr · Shift 1 · Q41
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Indefinite Integrals question

2017 · 9 Apr · Shift 1 · Q41

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1
If    \,\,\, f (3x−43x+4)\left( {{{3x - 4} \over {3x + 4}}} \right)(3x+43x−4​)= x + 2, x e−43e -{4 \over 3}e−34​, and ∫\int {}∫ f(x) dx = A log ∣\left| {} \right.∣ 1 −-− x ∣\left| {} \right.∣ + Bx + C, then the ordered pair (A, B) is equal to : (where C is a constant of integration)
  1. A
    (83,23)\left( {{8 \over 3},{2 \over 3}} \right)(38​,32​)
  2. B
    (−83,23)\left( { - {8 \over 3},{2 \over 3}} \right)(−38​,32​)
  3. C
    (−83,−23)\left( { - {8 \over 3}, - {2 \over 3}} \right)(−38​,−32​)
  4. D
    (83,−23)\left( { {8 \over 3}, - {2 \over 3}} \right)(38​,−32​)
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