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.