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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

If ∫ (dx)/(1 - ^4 x) = a x + b ^ -1 (c x) + D , then :

If ∫dx1−sin⁡4x=atan⁡x+btan⁡−1(ctan⁡x)+D\int \frac{dx}{1 - \sin^4 x} = a \tan x + b \tan^{-1}(c \tan x) + D, then :

Options

  1. Aa=12a = \frac{1}{2}
  2. Bb=2b = \sqrt{2}
  3. Cc=2c = \sqrt{2}
  4. Db=122b = \frac{1}{2\sqrt{2}}

Correct answer

A. a=12a = \frac{1}{2}

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