Subjects/Calculus II/Typical reduction formulas/Formula5.3. Typical reduction formulasFormulaIn 5.3. Typical reduction formulasFormulaCopy LaTeX∫tannxdx=n−1tann−1x−∫tann−2xdx,n>1VariablesxVariable independiente (variable de integración)nExponente o índice enterodxDiferencial respecto de xConditionsn>1Related formulasRelatedFormula∫cosnxdx=ncosn−1xsinx+nn−1∫cosn−2xdx,n≥2Open formulaOpen in sectionRelatedFormula∫cotnxdx=−n−1cotn−1x−∫cotn−2xdx,n>1Open formulaOpen in sectionRelatedFormula∫sinnxdx=−nsinn−1xcosx+nn−1∫sinn−2xdx,n≥2Open formulaOpen in sectionRelatedFormula∫secnxdx=n−1secn−2xtanx+n−1n−2∫secn−2xdx,n>1Open formulaOpen in sectionRelatedFormula∫xneaxdx=axneax−an∫xn−1eaxdx,a=0Open formulaOpen in sectionRelatedFormula∫cscnxdx=−n−1cscn−2xcotx+n−1n−2∫cscn−2xdx,n>1Open formulaOpen in section