Single Variable CalculusIntegral FormulaIntegral with Hyperbolic FunctionsOn this pageIntegral with Hyperbolic Functions137 ∫sinhx dx=coshx+C\int{\sinh{x}}\ \mathrm{d}x=\cosh{x}+C∫sinhx dx=coshx+C Derivation 138 ∫coshx dx=sinhx+C\int{\cosh{x}}\ \mathrm{d}x=\sinh{x}+C∫coshx dx=sinhx+C Derivation 139 ∫tanhx dx=ln(coshx)+C\int{\tanh{x}}\ \mathrm{d}x=\ln{(\cosh{x})}+C∫tanhx dx=ln(coshx)+C Derivation 140 ∫sinh2x dx=−x2+14sinh2x+C\int{\sinh^2{x}}\ \mathrm{d}x=-\frac{x}{2}+\frac{1}{4}\sinh{2x}+C∫sinh2x dx=−2x+41sinh2x+C Derivation 141 ∫cosh2x dx=x2+14sinh2x+C\int{\cosh^2{x}}\ \mathrm{d}x=\frac{x}{2}+\frac{1}{4}\sinh{2x}+C∫cosh2x dx=2x+41sinh2x+C Derivation