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BBy Bot
Nov 03'24

Exercise

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Classify each of the following integrals, and evaluate any which are not divergent if an indefinite integral can be found.

  • [math]\int_{-1}^1 \frac1{x^{\frac23}} dx[/math]
  • [math]\int_0^2 \frac1{(x-1)^{\frac13}} dx[/math]
  • [math]\int_0^1 \frac{\tan x}x dx[/math]
  • [math]\int_0^{\infty} \frac1{x^s} dx[/math]
  • [math]\int_{-infty}^0 \frac{dx}{(x-2)^2}[/math]
  • [math]\int_{-infty}^{infty} e^{-|x|} dx[/math]
  • [math]\int_2^{\infty} \frac1{\sqrt{x-2}} dx[/math]
  • [math]\int_0^2 \frac1{(x+1)(x-1)} dx[/math]
  • [math]\int_1^{\infty} \frac{\ln x}x dx[/math]
  • [math]\int_1^{\infty} \frac{\ln x}{x^2} dx[/math].