MCQMediumJEE Main 2026 · 28 January, Shift 2Indefinite Integrals

Mathematics Question from JEE Main 2026 · 28 January, Shift 2

Let f(x)=dxx23+2x12f(x)=\int \frac{dx}{x^{\frac{2}{3}}+2x^{\frac{1}{2}}} such that f(0)=26+24loge(2)f(0)=-26+24\log_e(2). If f(1)=a+bloge(3)f(1)=a+b\log_e(3), where a,bZa,b\in\mathbb{Z}, then a+ba+b is equal to:

  • A

    11-11

  • B

    5-5

  • C

    26-26

  • D

    18-18

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