Inverse Regular & Hyperbolic Trig Integrals

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Hint

11x2dx\int \frac{1}{\sqrt{1-x^{2}}}\:dx

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Hint

sin1(x)+C \sin^{-1}(x) + C

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Hint

11+x2dx\int\frac{1}{\sqrt{1+x^{2}}}\:dx

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Hint

sinh1(x)+C \sinh^{-1}(x) + C

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6 Terms

1
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11x2dx\int \frac{1}{\sqrt{1-x^{2}}}\:dx

sin1(x)+C \sin^{-1}(x) + C

2
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11+x2dx\int\frac{1}{\sqrt{1+x^{2}}}\:dx

sinh1(x)+C \sinh^{-1}(x) + C

3
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11x2dx\int -\frac{1}{\sqrt{1-x^{2}}}\:dx

cos1(x)+C\cos^{-1}(x) + C

4
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1x21dx\int\frac{1}{\sqrt{x^{2}-1}}\:dx

cosh1(x)+C\cosh^{-1}(x) + C

5
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11+x2dx\int \frac{1}{1+x^{2}}\:dx

tan1(x)+C\tan^{-1}(x) + C

6
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11x2dx\int \frac{1}{1-x^{2}}\:dx

tanh1(x)+C\tanh^{-1}(x) + C