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For the integral \[ I = \int_{-1}^{1} \frac{1}{x^2}\, dx \] which of the following statements is TRUE?

  • GATE CE - 2023
  • GATE CE
  • Engineering Mathematics
  • Evaluation of definite and indefinite integrals
The value (round off to one decimal place) of \[ \int_{-1}^1 x e^{|x|} \, dx \text{ is \(\underline{\hspace{1cm}}\).} \]
  • GATE CE - 2021
  • GATE CE
  • Engineering Mathematics
  • Evaluation of definite and indefinite integrals