Subjects/Calculus II/Integration by parts/Typical reduction formulasSection 5.3Typical reduction formulasFormulaCopy LaTeX∫xneaxdx=axneax−an∫xn−1eaxdx,a=0a=0View detail →FormulaCopy LaTeX∫sinnxdx=−nsinn−1xcosx+nn−1∫sinn−2xdx,n≥2n≥2View detail →FormulaCopy LaTeX∫cosnxdx=ncosn−1xsinx+nn−1∫cosn−2xdx,n≥2n≥2View detail →FormulaCopy LaTeX∫tannxdx=n−1tann−1x−∫tann−2xdx,n>1n>1View detail →FormulaCopy LaTeX∫cotnxdx=−n−1cotn−1x−∫cotn−2xdx,n>1n>1View detail →FormulaCopy LaTeX∫secnxdx=n−1secn−2xtanx+n−1n−2∫secn−2xdx,n>1n>1View detail →FormulaCopy LaTeX∫cscnxdx=−n−1cscn−2xcotx+n−1n−2∫cscn−2xdx,n>1n>1View detail →