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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

∫ ((x^3 - 1))/((x^4 + 1)(x + 1)) dx , is :

∫(x3−1)(x4+1)(x+1)dx\int \frac{(x^3 - 1)}{(x^4 + 1)(x + 1)} dx, is :

Options

  1. A14ln⁡(1+x4)+13ln⁡(1+x3)+c\frac{1}{4} \ln(1+x^4) + \frac{1}{3} \ln(1+x^3) + c
  2. B14ln⁡(1+x4)−13ln⁡(1+x3)+c\frac{1}{4} \ln(1+x^4) - \frac{1}{3} \ln(1+x^3) + c
  3. C14ln⁡(1+x4)−ln⁡(1+x)+c\frac{1}{4} \ln(1+x^4) - \ln(1+x) + c
  4. D14ln⁡(1+x4)+ln⁡(1+x)+c\frac{1}{4} \ln(1+x^4) + \ln(1+x) + c

Correct answer

C. 14ln⁡(1+x4)−ln⁡(1+x)+c\frac{1}{4} \ln(1+x^4) - \ln(1+x) + c

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