Integral of tan^-1 ?

[meer]

Hi,

Thomas Finney 8.2 Problem#7, As per integral table, the integral of tan^-1 should give;

but the solution suggests


why the upper can't be solution?

Thanks in advance.

 

[Deleted member 4993]

Hi,

Thomas Finney 8.2 Problem#7, As per integral table, the integral of tan^-1 should give;
View attachment 7835
but the solution suggests

View attachment 7836
why the upper can't be solution?

Thanks in advance.

because

\(\displaystyle tan^{-1}(y) \ \ne cot(y)\)