dx Differentiation and Integration of Hyperbolic Functions (Pages [sech = (sech d u] Let be a differentiable function of Complete each of the u x. tanh . u u) following of differentiation and integration. dx [sinh = (cosh . d u] u) [csch = (csch d u] dx coth . u u) dx [cosh = (sinh . d u] u) dx What you should learn How to differentiate and [tanh = (sech2 . d u] u) integrate hyperbolic dx functions [coth = (csch2 . d u] u) du u = sinh + . u C du = cosh + . u u C du u = tanh + . u C du = coth + . u u C du tanh u u = sech + . u C coth = csch + . u u du u C
Differentiation and Integration of Hyperbolic Functions (Pages Let u be a differentiable function of x. Complete each of the following of differentiation and integration. d [sinh u] = (cosh u) . dx d [cosh u] = (sinh u) . dx d [tanh u] = (sech2 u) . dx d [coth u] = (csch2 u) . dx d [sech u] = (sech u tanh u) . dx d [csch u] = (csch u coth u) . dx What you should learn How to differentiate and integrate hyperbolic functions u du u du = sinh u + C . = cosh u + C . u du u du = tanh u + C . = coth u + C . u tanh u du = sech u + C . u coth u du = csch u + C .