\begin{align} \int \arcsin x\,dx &{}= x\,\arcsin x + \sqrt{1-x^2} + C\\ \int \arccos x\,dx &{}= x\,\arccos x - \sqrt{1-x^2} + C\\ \int \arctan x\,dx &{}= x\,\arctan x - \frac{1}{2}\ln\left(1+x^2\right) + C\\ \int \arccot x\,dx &{}= x\,\arccot x + \frac{1}{2}\ln\left(1+x^2\right) + C\\ \int \arcsec x\,dx &{}= x\,\arcsec x - \ln\left[x\left(1+\sqrt{{x^2-1}\over x^2}\right)\right] + C\\ \int \arccsc x\,dx &{}= x\,\arccsc x + \ln\left[x\left(1+\sqrt{{x^2-1}\over x^2}\right)\right] + C \end{align}
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