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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 I = ∫ x^2 - 1 x^3 2x^4 - 2x^2 + 1 dx is equal to:

If I=∫x2−1x32x4−2x2+1dxI = \int \frac{x^2 - 1}{x^3 \sqrt{2x^4 - 2x^2 + 1}} dx is equal to:

Options

  1. A2x4−2x2+1x2+C\frac{\sqrt{2x^4 - 2x^2 + 1}}{x^2} + C
  2. B2x4−2x2+1x+C\frac{\sqrt{2x^4 - 2x^2 + 1}}{x} + C
  3. C2x4−2x2+1x3+C\frac{\sqrt{2x^4 - 2x^2 + 1}}{x^3} + C
  4. D2x4−2x2+12x2+C\frac{\sqrt{2x^4 - 2x^2 + 1}}{2x^2} + C

Correct answer

D. 2x4−2x2+12x2+C\frac{\sqrt{2x^4 - 2x^2 + 1}}{2x^2} + C

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