Home/Calcolo II/Integrali trigonometrici/Integrali trigonometrici fondamentaliSezione 6.7Integrali trigonometrici fondamentaliFormulaCopia LaTeX∫sinx dx=−cosx+C,∫cosx dx=sinx+C\int\sin x\,dx=-\cos x+C, \qquad \int\cos x\,dx=\sin x+C∫sinxdx=−cosx+C,∫cosxdx=sinx+C∫cosx dx=sinx+C\int\cos x\,dx=\sin x+C∫cosxdx=sinx+CVedi dettaglio →FormulaCopia LaTeX∫sec2x dx=tanx+C,∫csc2x dx=−cotx+C\int\sec^2x\,dx=\tan x+C, \qquad \int\csc^2x\,dx=-\cot x+C∫sec2xdx=tanx+C,∫csc2xdx=−cotx+C∫csc2x dx=−cotx+C\int\csc^2x\,dx=-\cot x+C∫csc2xdx=−cotx+CVedi dettaglio →FormulaCopia LaTeX∫secxtanx dx=secx+C,∫cscxcotx dx=−cscx+C\int\sec x\tan x\,dx=\sec x+C, \qquad \int\csc x\cot x\,dx=-\csc x+C∫secxtanxdx=secx+C,∫cscxcotxdx=−cscx+C∫cscxcotx dx=−cscx+C\int\csc x\cot x\,dx=-\csc x+C∫cscxcotxdx=−cscx+CVedi dettaglio →FormulaCopia LaTeX∫tanx dx=−ln∣cosx∣+C=ln∣secx∣+C\int\tan x\,dx=-\ln|\cos x|+C=\ln|\sec x|+C∫tanxdx=−ln∣cosx∣+C=ln∣secx∣+CVedi dettaglio →FormulaCopia LaTeX∫cotx dx=ln∣sinx∣+C\int\cot x\,dx=\ln|\sin x|+C∫cotxdx=ln∣sinx∣+CVedi dettaglio →FormulaCopia LaTeX∫secx dx=ln∣secx+tanx∣+C\int\sec x\,dx=\ln|\sec x+\tan x|+C∫secxdx=ln∣secx+tanx∣+CVedi dettaglio →FormulaCopia LaTeX∫cscx dx=ln∣cscx−cotx∣+C\int\csc x\,dx=\ln|\csc x-\cot x|+C∫cscxdx=ln∣cscx−cotx∣+CVedi dettaglio →
FormulaCopia LaTeX∫sinx dx=−cosx+C,∫cosx dx=sinx+C\int\sin x\,dx=-\cos x+C, \qquad \int\cos x\,dx=\sin x+C∫sinxdx=−cosx+C,∫cosxdx=sinx+C∫cosx dx=sinx+C\int\cos x\,dx=\sin x+C∫cosxdx=sinx+CVedi dettaglio →
FormulaCopia LaTeX∫sec2x dx=tanx+C,∫csc2x dx=−cotx+C\int\sec^2x\,dx=\tan x+C, \qquad \int\csc^2x\,dx=-\cot x+C∫sec2xdx=tanx+C,∫csc2xdx=−cotx+C∫csc2x dx=−cotx+C\int\csc^2x\,dx=-\cot x+C∫csc2xdx=−cotx+CVedi dettaglio →
FormulaCopia LaTeX∫secxtanx dx=secx+C,∫cscxcotx dx=−cscx+C\int\sec x\tan x\,dx=\sec x+C, \qquad \int\csc x\cot x\,dx=-\csc x+C∫secxtanxdx=secx+C,∫cscxcotxdx=−cscx+C∫cscxcotx dx=−cscx+C\int\csc x\cot x\,dx=-\csc x+C∫cscxcotxdx=−cscx+CVedi dettaglio →
FormulaCopia LaTeX∫tanx dx=−ln∣cosx∣+C=ln∣secx∣+C\int\tan x\,dx=-\ln|\cos x|+C=\ln|\sec x|+C∫tanxdx=−ln∣cosx∣+C=ln∣secx∣+CVedi dettaglio →
FormulaCopia LaTeX∫cotx dx=ln∣sinx∣+C\int\cot x\,dx=\ln|\sin x|+C∫cotxdx=ln∣sinx∣+CVedi dettaglio →
FormulaCopia LaTeX∫secx dx=ln∣secx+tanx∣+C\int\sec x\,dx=\ln|\sec x+\tan x|+C∫secxdx=ln∣secx+tanx∣+CVedi dettaglio →
FormulaCopia LaTeX∫cscx dx=ln∣cscx−cotx∣+C\int\csc x\,dx=\ln|\csc x-\cot x|+C∫cscxdx=ln∣cscx−cotx∣+CVedi dettaglio →