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Application of Integration · 2018 · Shift 1

2 Mathematics questions from this JEE Advanced paper
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Application of Integration · 2018 · Shift 1

2 Mathematics questions from this JEE Advanced paper

  1. Q24.Let f : [0, ∞) → R be a continuous function such that f(x)=1−2x+∫0x​ex−tf(t)dt for all x ∈[0, ∞). Then, which of the following statement(s) is (are) TRUE?
    Mathematics · Application of Integration · Multiple correct
  2. Q32.A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring farmer F2 takes away the region which lies between the sides PQ and a curve of the form y = xn (n > 1). If…
    Mathematics · Application of Integration · Numerical