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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 - x^ -1 ) e^ x + x^ -1 dx =

∫(1+x−x−1)ex+x−1dx=\int (1 + x - x^{-1}) e^{x + x^{-1}} dx =

Options

  1. A(x+1)ex+x−1+C(x + 1) e^{x + x^{-1}} + C
  2. B(x−1)ex+x−1+C(x - 1) e^{x + x^{-1}} + C
  3. C−xex+x−1+C-x e^{x + x^{-1}} + C
  4. Dxex+x−1+Cx e^{x + x^{-1}} + C

Correct answer

D. xex+x−1+Cx e^{x + x^{-1}} + C

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