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arcsin 18 dx=arcsin xd arcsinx =-arcsin'x+C 19、jesme+ldx=Jsn(e+l)d(e+1) cos(e+1)+C d 2sin rotan√x arctan √x +X)√X 1+ 2[ arctan√ arctan ctan2√x+C 1+e 1+e d 1+e d(1+er +e In(1+e+C e d X e arctan 24 4 arctan- In(e+4 )+C 248 P100,(9) (10),(14)18、 dx arcsin xdarcsin x 1 x arcsin x 4 2 4  =  − arcsin x C 5 1 5 = + 19、  e sin(e +1)dx =  sin(e +1)d(e +1) x x x x cos(e 1) C x = − + + 20、  =  ds 2 cos xd x x cos x = 2sin x + C 21、 d x 1 x arctan x dx 2 (1 x) x arctan x   + = + =  2 arctan xdarctan x arctan x C 2 = + 22、 dx 1 e 1 e e dx 1 e 1 x x x  x  + + − = +  + = − dx 1 e e 1 x x ( )  + + = − x x 1 e d 1 e x x ln(1 e ) C x = − + + 23、    + − + = + − e (e 4) de e 4 de dx e 4 e 1 x 2x x 2x x 2x x x 2x x x x de e 4 e e 1 4 1 2 e arctan 2 1        + = − − ln(e 4) C 8 1 4 x 2 e arctan 2 1 2x x = − + + + P100, (9), (10), (14)
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