Subjects/Calculus II/Appendix A: extensive table of antiderivatives/A.5. Hyperbolic integralsContentA.5. Hyperbolic integralsA.5.1 Basic hyperbolic functionsCopy LaTeX∫senhudu=coshu+CView detail →FormulaCopy LaTeX∫coshudu=senhu+CView detail →FormulaCopy LaTeX∫tanhudu=ln(coshu)+CView detail →FormulaCopy LaTeX∫cothudu=ln∣senhu∣+CView detail →FormulaCopy LaTeX∫sechudu=arctan(senhu)+CView detail →FormulaCopy LaTeX∫cschudu=lntanh2u+CView detail →A.5.2 Derivatives of hyperbolic functions (associated integrals)Copy LaTeX∫sech2udu=tanhu+CView detail →FormulaCopy LaTeX∫csch2udu=−cothu+CView detail →FormulaCopy LaTeX∫sechutanhudu=−sechu+CView detail →FormulaCopy LaTeX∫cschucothudu=−cschu+CView detail →
A.5.2 Derivatives of hyperbolic functions (associated integrals)Copy LaTeX∫sech2udu=tanhu+CView detail →