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Definite Integration · 2021 · 18 Mar · Shift 2

2 Mathematics questions from this JEE Main paper
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Definite Integration · 2021 · 18 Mar · Shift 2

2 Mathematics questions from this JEE Main paper

  1. Q30.Let g(x) = ∫0x​f(t)dt, where f is continuous function in [ 0, 3 ] such that 31​≤ f(t) ≤ 1 for all t ∈[0, 1] and 0 ≤ f(t) ≤21​ for all t ∈ (1, 3]. The largest possible interval in which…
    Mathematics · Definite Integration · MCQ
  2. Q43.Let P(x) be a real polynomial of degree 3 which vanishes at x = − 3. Let P(x) have local minima at x = 1, local maxima at x = − 1 and −1∫1​P(x)dx = 18, then the sum of all the coefficients of the polynomial P(x) is…
    Mathematics · Definite Integration · Numerical