Question

( if when k is equal to ) k=?​

Answer 1

★♣HEYA★♠

$\\ \\ d( \tan {}^{ - 1} (x) ) {}^{2}\\ - \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = k \tan {}^{ - 1} (x) \times (1 \div (1 + x {}^{2}) \\dx \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ \\ 2 \times \tan {}^{ - 1} (x) \times (1 \div (1 + x {}^{2} )) = k \tan {}^{ - 1} (x) \times (1 \div (1 + x {}^{2} ) \\ \\ \\ \\ k = 2$