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. ( x x ) = x x (ln x +1) (u ) = vu u x + u ln u v x v v -1 v 2 DIFERENTSEERIMISE ja INTEGREERIMISE VALEMID
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. ( x x ) = x x (ln x +1) (u ) = vu u x + u ln u v x v v -1 v 2 DIFERENTSEERIMISE ja INTEGREERIMISE VALEMID
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