Subjects/Calculus II/Appendix A: extensive table of antiderivatives/A.2. Trigonometric integralsContentA.2. Trigonometric integralsA.2.1 Even powers (n=2)Copy LaTeX∫sin2udu=21u−41sin2u+CView detail →FormulaCopy LaTeX∫cos2udu=21u+41sin2u+CView detail →FormulaCopy LaTeX∫tan2udu=tanu−u+CView detail →FormulaCopy LaTeX∫cot2udu=−cotu−u+CView detail →A.2.2 Odd powers (n=3)Copy LaTeX∫sin3udu=−31(2+sin2u)cosu+CView detail →FormulaCopy LaTeX∫cos3udu=31(2+cos2u)sinu+CView detail →FormulaCopy LaTeX∫tan3udu=21tan2u+ln∣cosu∣+CView detail →FormulaCopy LaTeX∫cot3udu=−21cot2u−ln∣sinu∣+CView detail →FormulaCopy LaTeX∫sec3udu=21secutanu+21ln∣secu+tanu∣+CView detail →FormulaCopy LaTeX∫csc3udu=−21cscucotu+21ln∣cscu−cotu∣+CView detail →A.2.3 Reduction formulasCopy LaTeX∫sinnudu=−n1sinn−1ucosu+nn−1∫sinn−2uduView detail →FormulaCopy LaTeX∫cosnudu=n1cosn−1usinu+nn−1∫cosn−2uduView detail →FormulaCopy LaTeX∫tannudu=n−11tann−1u−∫tann−2uduView detail →