Solution Formulas Videos Final Answer $\ln\left(\sec\left(x\right)+\tan\left(x\right)\right)+C_0$ Got another answer? Verify it here! Step-by-step Solution Specify the solving method Choose an optionIntegrate using basic integralsIntegrate by substitutionIntegrate by partsTabular IntegrationWeierstrass SubstitutionSuggest another method or feature Send 1 The integral of the secant function is given by the following formula, $\displaystyle\int\sec(x)dx=\ln\left|\sec(x)+\tan(x)\right|$ $\ln\left(\sec\left(x\right)+\tan\left(x\right)\right)$ 2 As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$ $\ln\left(\sec\left(x\right)+\tan\left(x\right)\right)+C_0$ Final Answer $\ln\left(\sec\left(x\right)+\tan\left(x\right)\right)+C_0$