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JEE Main Mathematics Area Under Curves 2026 JEE Main 2026 (22 January Shift 1)

JEE Main Mathematics Question (2026) — Solution

Question

Let the line x=-1 divide the area of the region \ (x, y): 1+x^ 2 y 3-x \ in the ratio m: n, gcd (m, n)=1. Then m+n is equal to

Options

  1. A. 27
  2. B. 25
  3. C. 28
  4. D. 26

Answer

A. 27

Step-by-step solution

m n = _ -1 ^ 1 [(3-x) - (1+x^2)] \, dx _ -2 ^ 1 [(3-x) - (1+x^2)] \, dx = 20 7 m + n = 20 + 7 = 27

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