In Exercises evaluate the definite integral using the formulas from Theorem 5.20.

Data from in Theorem 5.20

THEOREM 5.20 Differentiation and Integration Involving Inverse Hyperbolic Functions Let u be a differentiable function of x. d -[sinh ! u] dx d dx d dx [tanh-1 u] [sech- u] 1 Sa Suva du u a du a u du = = = a u u' u + 1 u' 1 - u - u' ul. u 1 a + u In 2a u a + a u |u| a = = In(u + u a) + C 1 - a - In d dx + C d dx [coshu] d dx u' u]=-1 [coth-u] [csch- u] + C = = = u' 1 - u - u' |u|1 + u