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3.4. Integration of the inverse hyperbolic functions Formula: du a ) J Jaztuz = sinh-1 () + cor In (u + Vuz + a? )
3.4. Integration of the inverse hyperbolic functions Formula: du a ) J Jaztuz = sinh-1 (") + cor In (u + Vuz + a? ) + c du b) J : Vuz_= cosh-1 (4) + c or In(u + Vuz + a2 ) + c du tank -1 ( " ) + c , lul a du d) S uva2 -uz sech 1 (4) + cor =1In (atvaz-uz + c du e) JuVaztuz = acsch-1 () + cor -1In(atvaz+12 + c Examples 4 : Evaluate dx 1) JJ 4X2-9 2) J 25 x2 dx cos dx 3) J V2+sin 2 x 4 dx 4) JVx2-2x+11
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