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Integration of Hyperbolic Functions

Category : JEE Main & Advanced

(1) \[\int{\sinh x\,dx}=\cos \,\text{h}x\,+c\]        

 

 

(2) \[\int{\cos \text{h}x\,dx=\sinh x+c}\]

 

 

(3) \[\int{\sec \,{{\text{h}}^{2}}x\,dx=\tan \,\text{h}\,x+c}\]              

 

 

(4) \[\int{\text{cosec}{{\text{h}}^{2}}x\,dx=-\cot \text{h}x+c}\]

 

 

(5) \[\int{\sec \,\text{h}x\,\tan \,\text{h}x\,dx=-\sec \text{h}x+c}\]                  

 

 

(6) \[\int{\text{cosec}\,\text{h}x\,\cot \,\text{h}\,dx=-\text{cosec}\,\text{h}x+c}\]


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