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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

∫ (1-x^7)/(x(1+x^7)) dx = P |x| + Q |x^7 + 1| + C , then :

∫1−x7x(1+x7)dx=Plog⁡∣x∣+Qlog⁡∣x7+1∣+C\int \frac{1-x^7}{x(1+x^7)} dx = P \log|x| + Q \log|x^7 + 1| + C, then :

Options

  1. A2P−7Q=02P - 7Q = 0
  2. B2P+7Q=02P + 7Q = 0
  3. C7P+2Q=07P + 2Q = 0
  4. D7P−2Q=17P - 2Q = 1

Correct answer

B. 2P+7Q=02P + 7Q = 0

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