MCQMediumJEE Main 2026 · 28 January, Shift 1Applications of Integrals (Area)

Mathematics Question from JEE Main 2026 · 28 January, Shift 1

The area of the region R={(x,y):xy8,  1yx2,  x0}R=\{(x,y): xy\le 8,\; 1\le y\le x^2,\; x\ge 0\} is:

  • A

    23(20loge2+9)\dfrac{2}{3}(20\log_e 2+9)

  • B

    13(40loge2+27)\dfrac{1}{3}(40\log_e 2+27)

  • C

    13(49loge215)\dfrac{1}{3}(49\log_e 2-15)

  • D

    23(24loge27)\dfrac{2}{3}(24\log_e 2-7)

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Practice more Applications of Integrals (Area) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Related questions