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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

The value of _ x → 0^+ ∫_1^ x ( ^ -1 t) dt 2x - 2x is equal to :

The value of lim⁡x→0+∫1cos⁡x(cos⁡−1t)dt2x−sin⁡2x\lim_{x \to 0^+} \frac{\int_1^{\cos x} (\cos^{-1} t) dt}{2x - \sin 2x} is equal to :

Options

  1. A0
  2. B-1
  3. C23\frac{2}{3}
  4. D−14-\frac{1}{4}

Correct answer

D. −14-\frac{1}{4}

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