Case II . If ( m + 1 )/ n is an integer , we put ( a + bx n ) = r k , where k is th denominator of the fraction .
Integration of Hyperbolic Functions
∫sinh x dx = cosh x + C ∫cosh x dx = sinh x + C
∫sech 2 x dx = tanh x + C
∫cosech 2 x dx = – coth x + C ∫sech x tanh x dx = – sech x + C ∫cosech x coth x dx = – cosech x + C
Case IV If {( m + 1 )/ n } + P is an integer , we put ( a + bx n ) = r k x n is the denominator of the fraction p .