MCQMediumJEE Main 2025 · 2 April, Shift 2Definite Integrals

Mathematics Question from JEE Main 2025 · 2 April, Shift 2

Let (a,b)(a, b) be the point of intersection of the curve x2=2yx^2 = 2y and the straight line y2x6=0y - 2x - 6 = 0 in the second quadrant. Then the integral I=ab9x21+5xdxI = \int_a^b \frac{9x^2}{1 + 5^x} \, dx is equal to:

  • A

    2424

  • B

    2727

  • C

    1818

  • D

    2121

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