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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

∫ dx x^ 5/2 (x + 1)^ 7/2 is equal to :

∫dxx5/2(x+1)7/2\int \frac{dx}{\sqrt{x^{5/2} (x + 1)^{7/2}}} is equal to :

Options

  1. A−(x+1x)1/6+C-\left(\frac{x+1}{x}\right)^{1/6} + C
  2. B6(x+1x)−1/6+C6\left(\frac{x+1}{x}\right)^{-1/6} + C
  3. C\left(\frac{x}{x+1}\right)^{5/6} + C
  4. D−(xx+1)5/6+C-\left(\frac{x}{x+1}\right)^{5/6} + C

Correct answer

B. 6(x+1x)−1/6+C6\left(\frac{x+1}{x}\right)^{-1/6} + C

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