(3\tan^{- 1}\left( \frac{x^{3}}{3} \right) + c) | MATH - INTEGRATION BY SUBSTITUTION | SolveeIt

$3\tan^{- 1}\left( \frac{x^{3}}{3} \right) + c$

$\int_{}^{}\frac{\cot x}{{logsin}x}\mspace{6mu} dx =$

$\log({logsin}x) + c$

$\log(\log c\text{osec}x) + c$

$2\log({logsin}x) + c$

Answer

$\log(\log c\text{osec}x) + c$

Explanation

Putting $\cot x - x + c$

we get $\int \frac { e ^ { \tan ^ { - 1 } x } } { 1 + x ^ { 2 } } d x = \int e ^ { t } d t$ $\cot x + x + c$

Question: \(3\tan^{- 1}\left( \frac{x^{3}}{3} \right) + c\)...