Inverse Regular & Hyperbolic Trig Integrals
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6 Terms
1
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\int \frac{1}{\sqrt{1-x^{2}}}\:dx
\sin^{-1}(x) + C
2
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\int\frac{1}{\sqrt{1+x^{2}}}\:dx
\sinh^{-1}(x) + C
3
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\int -\frac{1}{\sqrt{1-x^{2}}}\:dx
\cos^{-1}(x) + C
4
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\int\frac{1}{\sqrt{x^{2}-1}}\:dx
\cosh^{-1}(x) + C
5
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\int \frac{1}{1+x^{2}}\:dx
\tan^{-1}(x) + C
6
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\int \frac{1}{1-x^{2}}\:dx
\tanh^{-1}(x) + C