Subjects/Calculus II/Appendix A: extensive table of antiderivatives/A.3. Inverse trigonometric integralsContentA.3. Inverse trigonometric integralsA.3.1 Direct integralsCopy LaTeX∫arcsinudu=uarcsinu+1−u2+CView detail →FormulaCopy LaTeX∫arccosudu=uarccosu−1−u2+CView detail →FormulaCopy LaTeX∫arctanudu=uarctanu−21ln(1+u2)+Cln(1+u2)+CView detail →A.3.2 Product with uCopy LaTeX∫uarcsinudu=42u2−1arcsinu+4u1−u2+CView detail →FormulaCopy LaTeX∫uarctanudu=2u2+1arctanu−2u+CView detail →A.3.3 General powers (n=−1)Copy LaTeX∫unarcsinudu=n+11[un+1arcsinu−∫1−u2un+1du]View detail →FormulaCopy LaTeX∫unarccosudu=n+11[un+1arccosu+∫1−u2un+1du]View detail →FormulaCopy LaTeX∫unarctanudu=n+11[un+1arctanu−∫1+u2un+1du]View detail →