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MCQMediumJEE Main 2025 · 23 January, Shift 1Integration Techniques (Substitution, Parts, Partial Fractions)

Mathematics Question from JEE Main 2025 · 23 January, Shift 1

Let I(x)=∫dx(x−11)1113(x+15)1513I(x) = \int \frac{dx}{(x-11)^{\frac{11}{13}} (x+15)^{\frac{15}{13}}}.

If I(37)−I(24)=14(1b1/13−1c1/13)I(37) - I(24) = \frac{1}{4} \left( \frac{1}{b^{1/13}} - \frac{1}{c^{1/13}} \right), where b,c∈Nb, c \in \mathbb{N}, then 3(b+c)3(b+c) is equal to:

  • A

    4040

  • B

    3939

  • C

    2222

  • D

    2626

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