8. ( Archx ) = ( Archu ) x = x2 1 u2 1 1 x2 1 dx = Archx + c (x1) 1 u x 1 9. ( Arthx ) = 1 x 2 ( Arthu ) x = 1 u 2 1 x2 dx = Arthx + c (|x|<1) 1 u x 10. ( Arcthx ) = 2 ( Arcthu )x = 1 x 1 u2 1 1 x 2 dx = Arcthx + c (|x|>1) 11
8. ( Archx ) = ( Archu ) x = x2 1 u2 1 1 x2 1 dx = Archx + c (x1) 1 u x 1 9. ( Arthx ) = 1 x 2 ( Arthu ) x = 1 u 2 1 x2 dx = Arthx + c (x1) 1 u x 10. ( Arcthx ) = 2 ( Arcthu )x = 1 x 1 u2 1 1 x 2 dx = Arcthx + c (x1) 11
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