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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

∫ [ e^x ( x + (2)/(x) - (1)/(x^2) ) ] dx =

∫[ex(ln⁡x+2x−1x2)]dx=\int \left[ e^x \left( \ln x + \frac{2}{x} - \frac{1}{x^2} \right) \right] dx =

Options

  1. Aexln⁡x+C1x+C2e^x \ln x + C_1 x + C_2
  2. Bexln⁡x+1x+C1x+C2e^x \ln x + \frac{1}{x} + C_1 x + C_2
  3. Cln⁡xx+C1x+C2\frac{\ln x}{x} + C_1 x + C_2
  4. DNone of these

Correct answer

A. exln⁡x+C1x+C2e^x \ln x + C_1 x + C_2

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