∫sin−1(x) dx=xsin−1(x)+1−x2\int \sin^{-1}{(x)} \, dx=x\sin^{-1}{(x)}+\sqrt{1-{x}^{2}}∫sin−1(x)dx=xsin−1(x)+1−x2
∫cos−1(x) dx=xcos−1(x)−1−x2\int \cos^{-1}{(x)} \, dx=x\cos^{-1}{(x)}-\sqrt{1-{x}^{2}}∫cos−1(x)dx=xcos−1(x)−1−x2
∫tan−1(x) dx=xtan−1(x)−12ln(1+x2)\int \tan^{-1}{(x)} \, dx=x\tan^{-1}{(x)}-\frac{1}{2}\ln{(1+{x}^{2})}∫tan−1(x)dx=xtan−1(x)−21ln(1+x2)
∫csc−1(x) dx=xcsc−1(x)−ln(x+xx−1x2)\int \csc^{-1}{(x)} \, dx=x\csc^{-1}{(x)}-\ln{(x+x\sqrt{\frac{x-1}{{x}^{2}}})}∫csc−1(x)dx=xcsc−1(x)−ln(x+xx2x−1)
∫sec−1(x) dx=xsec−1(x)−ln(x+xx−1x2)\int \sec^{-1}{(x)} \, dx=x\sec^{-1}{(x)}-\ln{(x+x\sqrt{\frac{x-1}{{x}^{2}}})}∫sec−1(x)dx=xsec−1(x)−ln(x+xx2x−1)
∫cot−1(x) dx=xcot−1(x)+12ln(1+x2)\int \cot^{-1}{(x)} \, dx=x\cot^{-1}{(x)}+\frac{1}{2}\ln{(1+{x}^{2})}∫cot−1(x)dx=xcot−1(x)+21ln(1+x2)