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Coordinated Calculus

Appendix A A Short Table of Integrals

  1. dua2+u2=1aarctanua+C
  2. duu2±a2=ln|u+u2±a2|+C
  3. u2±a2du=u2u2±a2±a22ln|u+u2±a2|+C
  4. u2duu2±a2=u2u2±a2a22ln|u+u2±a2|+C
  5. duuu2+a2=1aln|a+u2+a2u|+C
  6. duuu2a2=1asec1ua+C
  7. dua2u2=arcsinua+C
  8. a2u2du=u2a2u2+a22arcsinua+C
  9. u2a2u2du=u2a2u2+a22arcsinua+C
  10. duua2u2=1aln|a+a2u2u|+C
  11. duu2a2u2=a2u2a2u+C