evaluateint-xoperatornamearctanhxdxqquadx-and-lt1

Question

Evaluate ∫x tanh⁡−1x dx\int x\,\$$tanh^{-1}x$$\,dx.

Accepted Answer

12((x2−1)tanh⁡−1⁡x+x)+C\frac{1}{2}\$$big((x^2-1$$)\operatorname{\$$tanh^{-1}$$}x+x\big)+C

Answer

12((x2+1)tanh⁡−1⁡x−x)+C\frac{1}{2}\$$big((x^2+1$$)\operatorname{\$$tanh^{-1}$$}x-x\big)+C

Answer

(x2−1)tanh⁡−1⁡$$x+C(x^2-1$$)\operatorname{\$$tanh^{-1}$$}x+C

Answer

(x2−1)cosh⁡$$x+C(x^2-1$$)\cosh x+C

Evaluate ∫xtanh−1xdx\(\int\) x\,\(\tanh\)^{-1}x\,dx.