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Definite Integration · 2021 · 16 Mar · Shift 2

2 Mathematics questions from this JEE Main paper
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Definite Integration · 2021 · 16 Mar · Shift 2

2 Mathematics questions from this JEE Main paper

  1. Q30.Consider the integral I=∫010​ex−1[x]e[x]​dx, where [x] denotes the greatest integer less than or equal to x. Then the value of I is equal to :
    Mathematics · Definite Integration · MCQ
  2. Q32.Let P(x) = x2 + bx + c be a quadratic polynomial with real coefficients such that ∫01​P(x)dx= 1 and P(x) leaves remainder 5 when it is divided by (x − 2). Then the value of 9(b + c) is equal to :
    Mathematics · Definite Integration · MCQ